IUC AcademyHome321. Out of 100 articles, 25 articles were sold at 25% profit and the remaining articles were sold at 25% loss. What will be the total loss percentage?
- A. 15
- B. 12.5
- C. 20
- D. 10
Answer: 12.5
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322. A shopkeeper bought 500 note books. He sold 300 of them for the price he paid for all 500 notebooks. He sold 140 notebook at 20% higher rate than at which he sold 300 notebooks and the remaining at the cost price. what is the profit percentage in the whole transaction?
- A. 60%
- B. 56%
- C. 68%
- D. 64%
Answer: 68%
Explanation: Let CP of 1 notebook = ₹1 CP of 500 note book = ₹ 500 SP of 300 note book =₹ 500 SP of 140 note book 500 120140 300 100= × × = ₹ 280 SP of remaining 60 notebook = ₹ 60 SP of 500 note book = 500 + 280 + 60 = 840 ∴ Profit in entire transaction% = 840 500 340100500 5- × = = 68%
Explanation: Let CP of 1 notebook = ₹1 CP of 500 note book = ₹ 500 SP of 300 note book =₹ 500 SP of 140 note book 500 120140 300 100= × × = ₹ 280 SP of remaining 60 notebook = ₹ 60 SP of 500 note book = 500 + 280 + 60 = 840 ∴ Profit in entire transaction% = 840 500 340100500 5- × = = 68%
323. Subir claimed to sell his items, at only 5% above the cost of production, but used a weight that had 1 kg written on it. Thought it actually weighted 960 grams. What was the actual profit percentage earned by subir?
- A. 9.125%
- B. 9.25%
- C. 9.5%
- D. 9.375%
Answer: 9.375%
Explanation: According to the question, 1000 gm → 1000 → 51000 1000 100+ × =1050 960 gm → 960 % Profit 1050 960 100960-= × 90 100 9.375%960= × =
Explanation: According to the question, 1000 gm → 1000 → 51000 1000 100+ × =1050 960 gm → 960 % Profit 1050 960 100960-= × 90 100 9.375%960= × =
324. Giri bought an old machine for ₹2000 and spent ₹500 an its repair. He sole it for ₹4000. His profit percentage is
- A. 20%
- B. 40%
- C. 30%
- D. 60%
Answer: 60%
Explanation: Total cost price of old machine = 2000 + 500 = ₹2500 Selling price = ₹4000 Profit 4000 2500% 100 2500-= × 1500 100 60%2500= × =
Explanation: Total cost price of old machine = 2000 + 500 = ₹2500 Selling price = ₹4000 Profit 4000 2500% 100 2500-= × 1500 100 60%2500= × =
325. A shopkeeper claims that he is selling sugar a t Rs. 27/kg which cost him Rs.30/kg, but he gives 750 grams instead of 1000 grams. What is this profit or loss percentage is
- A. 20% Profit
- B. 7.5% Profit
- C. 2.5% Loss
- D. 10% Loss
Answer: 20% Profit
Explanation: Cost price of sugar = 30 × 750 = ₹22500 Selling price of sugar = 27 × 1000 = ₹27000 Hence, Profit 27000 22500% 100 22500-= × 4500 450010022500 225= × = =20%
Explanation: Cost price of sugar = 30 × 750 = ₹22500 Selling price of sugar = 27 × 1000 = ₹27000 Hence, Profit 27000 22500% 100 22500-= × 4500 450010022500 225= × = =20%
326. A person marks an article 36% above the cost price and offers 30% discount on the marked price. What is the loss or gain percentage?
- A. Profit 7.2%
- B. Profit 8.5%
- C. Loss 6.5%
- D. Loss 4.8%
Answer: Loss 4.8%
327. A shopkeeper marks his goods at a price 20% higher than their cost price and allows 10% discount on every item. Find his gain percentage.
- A. 10%
- B. 8%
- C. 10.5%
- D. 9%
Answer: 8%
328. If a chair is sold at a discount of 20%, then there is a profit of 20%. If the chair is sold at a discount of 30%, then what will be the profit?
- A. 7.5%
- B. 10%
- C. 12.5%
- D. 5%
Answer: 5%
329. A goods passes successively through the hands of three traders and each of them sells his goods at a profit of 30% of its cost price. If the last trader sold the goods for ₹300, for how much did the first trader buy it?
- A. Rs.137.55 (approx)
- B. Rs.330.55 (approx)
- C. Rs.136.55 (approx)
- D. Rs.240.55 (approx)
Answer: Rs.136.55 (approx)
Explanation: According to the question, Let, CP = 100 SP SP SP I II III 130 169 219.7 219.7 = ₹300 100 = 300 100219.7 × = 136.55 (Approx) Hence, the first trader bought the goods for ₹ 136.55.
Explanation: According to the question, Let, CP = 100 SP SP SP I II III 130 169 219.7 219.7 = ₹300 100 = 300 100219.7 × = 136.55 (Approx) Hence, the first trader bought the goods for ₹ 136.55.
330. Three fourth of a consignment was sold at a profit of 8% and the rest at a loss of 4%. If there was an overall profit of Rs. 600, then find the values of the consignment.
- A. Rs. 15,000
- B. Rs. 12,000
- C. Rs. 18,000
- D. Rs. 6,000
Answer: Rs. 12,000
Explanation: Let the total price of consignment = ₹ x According to the question, 3 8 x 4x 6004 100 4 100× × - × = 24x 4x 600 400- = × 20x 240000= x 12000=₹ Total value of the consignment = ₹12000
Explanation: Let the total price of consignment = ₹ x According to the question, 3 8 x 4x 6004 100 4 100× × - × = 24x 4x 600 400- = × 20x 240000= x 12000=₹ Total value of the consignment = ₹12000
331. A purchased an article for ₹1400. He sold it to B at 25% profit. B sold it to C at 20% profit. C sold it to D at 15% loss. What is the cost price for D?
- A. ₹ 1785
- B. ₹ 2025
- C. ₹ 1900
- D. ₹ 1665
Answer: ₹ 1785
332. Ramesh claims that he is selling onion at Rs. 36 per kg, Which costs him Rs. 40 per kg. but he gives 800 grams instead of 1 kg. Find Ramesh's percentage gain or loss.
- A. 12.5% Profit
- B. 12.5% Loss
- C. 13.5% Loss
- D. 13.5% Profit
Answer: 12.5% Profit
Explanation: From question, CP of 1000 gm = ₹ 40 Cost price of 800 gm. = 401000 ×800 = ₹32 Selling price of 800 gm = ₹36 (Given) Profit = 36 - 32 = ₹ 4 Profit % = 4 100 12.5%32 × =
Explanation: From question, CP of 1000 gm = ₹ 40 Cost price of 800 gm. = 401000 ×800 = ₹32 Selling price of 800 gm = ₹36 (Given) Profit = 36 - 32 = ₹ 4 Profit % = 4 100 12.5%32 × =
333. A fan is sold for Rs. 1560 at a profit of 30%. If its selling price is Rs. 960, then what will be the loss percentage?
- A. 10%
- B. 20%
- C. 30%
- D. 25%
Answer: 20%
334. The selling price of plate is 140% of its cost price. What will be the profit percentage?
- A. 35%
- B. 25%
- C. 25.57%
- D. 40%
Answer: 40%
Explanation: Let the cost price = ₹ 100 ∴ Selling price = 100 140100× = ₹140 Required Profit % = 40 100 40%100× =
Explanation: Let the cost price = ₹ 100 ∴ Selling price = 100 140100× = ₹140 Required Profit % = 40 100 40%100× =
335. Ranveer bought a computer paying 25% less than the list price and sold it to his neighbor at a 40% profit on his purchase cost. The profit percentage earned by Ranveer on the list price of the computer is
- A. 7.5 %
- B. 5%
- C. 6.67%
- D. 10%
Answer: 5%
Explanation: Let, the marked price be = ì 100 Cost price = ì 75 According to the question, Selling price of the computer 75×140= 100 = ì 105 Profit earned on the marked price of the computer 105 100= ×100100- = 5%
Explanation: Let, the marked price be = ì 100 Cost price = ì 75 According to the question, Selling price of the computer 75×140= 100 = ì 105 Profit earned on the marked price of the computer 105 100= ×100100- = 5%
336. A article is sold at a loss of 40%. The nomina l amount of loss is approximately what percentage of the selling price of the article?
- A. 51.33%
- B. 66.67%
- C. 38.33%
- D. 41.33%
Answer: 66.67%
337. The selling price of an article is three times of the loss incurred on selling this article. What is the loss percentage?
- A. 33.33%
- B. 40%
- C. 50%
- D. 25%
Answer: 25%
338. The selling price of a bulb is half of its cos t price. What is the loss percent?
- A. 20%
- B. 60%
- C. 40%
- D. 50%
Answer: 50%
Explanation: Let the cost price of bulb = ₹100 Then, selling price of bulb = ₹50 According to the question, Loss% 100 50 100100-= × = 50%
Explanation: Let the cost price of bulb = ₹100 Then, selling price of bulb = ₹50 According to the question, Loss% 100 50 100100-= × = 50%
339. The cost price of a car is give times of the l oss incurred on selling this car. What is the loss percentage?
- A. 33.33%
- B. 25%
- C. 20%
- D. 16.66%
Answer: 20%
Explanation: Let the cost price of the car be ₹100 Selling price of car = ₹ x Loss = (100 - x) According to the question, 100 = 5 (100 - x) 20 = 100 - x ∴ x = ₹80 Loss % 100 80 100100-= × = 20%
Explanation: Let the cost price of the car be ₹100 Selling price of car = ₹ x Loss = (100 - x) According to the question, 100 = 5 (100 - x) 20 = 100 - x ∴ x = ₹80 Loss % 100 80 100100-= × = 20%
340. The selling price of a book is Rs. 855. If the loss incurred through the sale is 10%. Then what is the nomial amount of loss incurred ?
- A. ₹ 90.5
- B. ₹ 85
- C. ₹ 85.5
- D. ₹ 95
Answer: ₹ 95
Explanation: Let the cost price be x. Loss = 10% Selling price = ₹ 855 According to the question, 90x 855100× = 8550x 9= x = ₹ 950 Loss = 950 - 855 = ₹ 95
Explanation: Let the cost price be x. Loss = 10% Selling price = ₹ 855 According to the question, 90x 855100× = 8550x 9= x = ₹ 950 Loss = 950 - 855 = ₹ 95
341. The selling price of 15 oranges is the same as the cost price of 19 orange. What is the approximate profit percentage?
- A. 15.34%
- B. 26.67%
- C. 32.5%
- D. 18.75%
Answer: 26.67%
Explanation: Selling price of 15 oranges = Cost price of 19 oranges. 15 CP19 SP= Profit = 19 -15 = 4 Profit% = 4 100 80 26.67%15 3× = =
Explanation: Selling price of 15 oranges = Cost price of 19 oranges. 15 CP19 SP= Profit = 19 -15 = 4 Profit% = 4 100 80 26.67%15 3× = =
342. A helmet is sold for ₹1650 at a profit of 10%. If the selling price is ₹2100. Then what will be the profit percentage?
- A. 60%
- B. 40%
- C. 25%
- D. 30%
Answer: 40%
Explanation: Selling price of Helmet = ₹ 2100 Cost price of Helmet = 1001650 110× = ₹ 1500 Profit% = 2100 -1500 600100 100 40%1500 1500× = × =
Explanation: Selling price of Helmet = ₹ 2100 Cost price of Helmet = 1001650 110× = ₹ 1500 Profit% = 2100 -1500 600100 100 40%1500 1500× = × =
343. By selling a carpet for Rs. 360, a person incurred a loss of 10%. At what price should sell it so, that he makes a profit of 20%?
- A. ₹390
- B. ₹420
- C. ₹480
- D. ₹400
Answer: ₹480
Explanation: According to the question, Cost price of carpet = 360 100 40090× = Profit % = 20% Selling Price = 120400 100× = ₹480
Explanation: According to the question, Cost price of carpet = 360 100 40090× = Profit % = 20% Selling Price = 120400 100× = ₹480
344. If 25% discount is given on an article, then there will be a loss of 15%. If the article is sold at its marked price, then what will the profit percentage be? (Given your answer correct to 2 decimal place)
- A. 13.33%
- B. 15.66%
- C. 12.66%
- D. 10.22%
Answer: 13.33%
Explanation: According to the question, Marked price × 75100 = Cost price × 85100 MP 85 17CP 75 15= = MP = SP (Given) Profit%= 2 10015 × = 40 13.33%3 =
Explanation: According to the question, Marked price × 75100 = Cost price × 85100 MP 85 17CP 75 15= = MP = SP (Given) Profit%= 2 10015 × = 40 13.33%3 =
345. A sells an article to B at a 20% profit, B sells it to C at a 15% loss, C sells it to D at a 25% profit. If the difference between the profits of A and C is Rs. 49.50, then the cost price of the article for C is
- A. Rs. 918
- B. Rs. 900
- C. Rs. 909
- D. Rs. 954
Answer: Rs. 918
346. The selling price of a pen is 660. If the prof it is 20%, then what is the nominal profit earned on the sale of the pen.
- A. ₹130
- B. ₹140
- C. ₹90
- D. ₹110
Answer: ₹110
Explanation: Selling price of pen = ₹660 Cost price on 20% profit = 660 100120× = ₹550 Then profit = 660 - 550 = ₹110
Explanation: Selling price of pen = ₹660 Cost price on 20% profit = 660 100120× = ₹550 Then profit = 660 - 550 = ₹110
347. 40 chairs are bought at the market price of 36 chairs. If these 40 chairs are sold after giving a discount of 1% then find the profit percentage?
- A. 10%
- B. 12.5%
- C. 5%
- D. 7.25%
Answer: 10%
Explanation: From equation, 40 CP = 36 MP CP- Cost price Let, MP = ₹ 100 MP-Marked price 40CP = 36 × 100 40 CP = 3600 1 CP = ₹ 90 After 1% discount SP = ₹ 99 Profit % = 9 10090 × = 1 10010 × = 10%
Explanation: From equation, 40 CP = 36 MP CP- Cost price Let, MP = ₹ 100 MP-Marked price 40CP = 36 × 100 40 CP = 3600 1 CP = ₹ 90 After 1% discount SP = ₹ 99 Profit % = 9 10090 × = 1 10010 × = 10%
348. If the cost price is 94% of the selling price, then what is the profit percentage?
- A. 4.6%
- B. 6.5%
- C. 5.6%
- D. 6.4%
Answer: 6.4%
349. If the cost price is 66% of the selling price, then what is the percentage of profit (correct to 2 decimal places).
- A. 55.62%
- B. 50.52%
- C. 51.52%
- D. 60.25%
Answer: 51.52%
Explanation: Let the selling price be ₹100 Cost Price 100 66100×= = ₹66 Profit% SP - CP100CP= × 100 - 66Profit % 100 51.52%66= × =
Explanation: Let the selling price be ₹100 Cost Price 100 66100×= = ₹66 Profit% SP - CP100CP= × 100 - 66Profit % 100 51.52%66= × =
350. A grocer sells pulses at a profit of 13% and u ses weights which are 24% less than the market weights. The percentage of profit earned by him will be (Correct to 2 decimal place).
- A. 37.75%
- B. 45.56%
- C. 48.68%
- D. 42.35%
Answer: 48.68%
351. A dealer bought an article at 10% discount on its marked price, and sold it at a price which was 35% above the marked price. The gain percent (Correct to the nearest integer) is.
- A. 62.5%
- B. 50%
- C. 42.5%
- D. 57.5%
Answer: 50%
Explanation: Let the marked price be ₹100 Cost price of dealer after 10% discount = ₹90 Selling price = ₹135 Profit = 135 - 90 = ₹45 Profit % = 4590 ×100 = 12 ×100 = 50%
Explanation: Let the marked price be ₹100 Cost price of dealer after 10% discount = ₹90 Selling price = ₹135 Profit = 135 - 90 = ₹45 Profit % = 4590 ×100 = 12 ×100 = 50%
352. What should be the marked price of a radio with a purchase price of ₹1200 so that the shopkeeper gets a profit of 25% on it even after selling it at a discount of 20% on the marked price.
- A. ₹1,675
- B. ₹1,900
- C. ₹1,875
- D. ₹2,025
Answer: ₹1,875
353. A notebook was sold for Rs. 28 with a profit o f 12%. If it had been sold for Rs. 26.25, then what would have the profit percentage?
- A. 4%
- B. 5%
- C. 6%
- D. 7%
Answer: 5%
Explanation: Profit = 12% Selling price = 28 Let the cost price be = x 112x 28100× = 2800x 112= = 25 Second selling price = ₹26.25 Profit% (26.25 - 25)10025= × 1.25 10025= × = 5%
Explanation: Profit = 12% Selling price = 28 Let the cost price be = x 112x 28100× = 2800x 112= = 25 Second selling price = ₹26.25 Profit% (26.25 - 25)10025= × 1.25 10025= × = 5%
354. By selling a watch for Rs. 2000 a shopkeeper loses 20%. How much would he gain or lose by selling it for Rs. 3000?
- A. 25% Loss
- B. 25% Profit
- C. 15% Loss
- D. 20% Profit
Answer: 20% Profit
355. Shopkeeper loses 16% when he sells an article for Rs. 2,730. If he sells it for Rs. 3,458, his lo ss/ gain percentage is
- A. Loss 6%
- B. Gain 6.4%
- C. Loss 6.4%
- D. Gain 6%
Answer: Gain 6.4%
356. The marked price of 85 articles was equal to th e cost price of 153 article. The selling price of 104 article was equal to the marked price of 65 article. Calculate the profit or loss. Percentage from the sale of each item.
- A. 12.5% Profit
- B. 12.25% Profit
- C. 15% Profit
- D. 12.5 Loss
Answer: 12.5% Profit
Explanation: Let, Marked Price = M.P. Cost Price = C.P. Selling Price = S.P. 85 MP = 153 CP 5 MP = 9 CP MP 9 ............ (i)CP 5= 104 SP = 65 MP 8 SP = 5 MP SP 5 ........... (ii)MP 8= From equation (i) and equation (ii) 8 SP = 9 CP Profit% 9 - 8100 12.5%8= × =
Explanation: Let, Marked Price = M.P. Cost Price = C.P. Selling Price = S.P. 85 MP = 153 CP 5 MP = 9 CP MP 9 ............ (i)CP 5= 104 SP = 65 MP 8 SP = 5 MP SP 5 ........... (ii)MP 8= From equation (i) and equation (ii) 8 SP = 9 CP Profit% 9 - 8100 12.5%8= × =
357. A dishonest shopkeeper claims to sell grains at the cost price, but uses a weight of 920 gm instead of 1 kg. find his profit percentage.
- A. 7.90%
- B. 7.80%
- C. 8.50%
- D. 8.70%
Answer: 8.70%
358. If the cost price of a book is 92% of its selli ng price, then what will be the profit percentage o the sale of the book (Correct to two decimal place)?
- A. 8.53%
- B. 2.25%
- C. 8.00%
- D. 8.69%
Answer: 8.69%
359. Ram bought a TV for 65500 and sold it for 89080. What percentage of profit did he make on TV?
- A. 36%
- B. 40%
- C. 42%
- D. 34%
Answer: 36%
Explanation: Cost Price of T.V. = ₹ 65,500 Selling Price of T.V. = 89,080 According to the question, SP - CPProfit% 100CP = × Profit Percentage on TV = 89080 65500 10065500- × 23580 10065500= × = 36%
Explanation: Cost Price of T.V. = ₹ 65,500 Selling Price of T.V. = 89,080 According to the question, SP - CPProfit% 100CP = × Profit Percentage on TV = 89080 65500 10065500- × 23580 10065500= × = 36%
360. A merchant fixes the sale price of his goods at 42% above the cost price. He sells his goods at 15% discount marked price. His percentage of profit (rounded off to the nearest integer) is
- A. 27%
- B. 42%
- C. 35%
- D. 21%
Answer: 21%
361. B purchased 15 kg apples at the rate of ₹180 per kg from a whole seller who uses a weight of 950 grams for the kg weight. B sold all these apples at ₹180 per kg but used a weight of 750 grams for the kg weight. Fid the percentage profit earned by B in the transaction, Correct to 2 places of decimal)
- A. 33.33%
- B. 26.67%
- C. 22.55%
- D. 25.75%
Answer: 26.67%
Explanation: The shopkeeper bought 15 kg of apples for Rs 180/kg, while buying he used the weight of 950 g m and while selling he used the weight of 750 gram. The shopkeeper uses the weight of 950 gm, but he weight 750 gm- 200750 950 → Profit% = 200 100750 × 80 26.67%3= =
Explanation: The shopkeeper bought 15 kg of apples for Rs 180/kg, while buying he used the weight of 950 g m and while selling he used the weight of 750 gram. The shopkeeper uses the weight of 950 gm, but he weight 750 gm- 200750 950 → Profit% = 200 100750 × 80 26.67%3= =
362. A store sells an article for 500 and earns a profit at 25%. Later to sell the old items the store reduce the price of the item by 20%. What is the store's new profit or loss percentage?
- A. Neither Profit nor loss
- B. 5% Loss
- C. 5% Profit
- D. 2% Profit
Answer: Neither Profit nor loss
Explanation: Given, S.P. of article = ₹ 500 Profit = 25% C.P. of article 100500 125= × = ₹ 400 Selling price of article after decreasing 20% 80500 100= × = ₹400 The cost price and selling price of the article is same. Hence, the store will have neither profit nor loss.
Explanation: Given, S.P. of article = ₹ 500 Profit = 25% C.P. of article 100500 125= × = ₹ 400 Selling price of article after decreasing 20% 80500 100= × = ₹400 The cost price and selling price of the article is same. Hence, the store will have neither profit nor loss.
363. A shopkeeper earns 10% on an investment but losses 20% on another investment. If the ratio of the two investments is 2 : 3, then the combined loss percentage is
- A. 8% Loss
- B. 8% Profit
- C. 15% Profit
- D. 15% Loss
Answer: 8% Loss
Explanation: Ratio of investment = 2 : 3 Or 200: 300 First amount after investment = 200 × 110100 = 220 Second amount after investment = 300 × 80100 = 240 Loss = 500 - 460 = 40 Loss% = 40 8 100/500% × = Trick : C.P. = 2 : 3 → Sum = 5 S.P. = 2 110 3 80:100 100× × 2.2 : 2.4= Sum = 4.6 Loss = 5 - 4.6 = 0.4 Loss% = 0.4 100 8%5 × =
Explanation: Ratio of investment = 2 : 3 Or 200: 300 First amount after investment = 200 × 110100 = 220 Second amount after investment = 300 × 80100 = 240 Loss = 500 - 460 = 40 Loss% = 40 8 100/500% × = Trick : C.P. = 2 : 3 → Sum = 5 S.P. = 2 110 3 80:100 100× × 2.2 : 2.4= Sum = 4.6 Loss = 5 - 4.6 = 0.4 Loss% = 0.4 100 8%5 × =
364. The cost price of an item is Rs 500 and it is sold for Rs 650. What is the profit percentage?
- A. 35%
- B. 25%
- C. 30% (profit = 150, profit% = 150/500 x 100)
- D. 20%
Answer: 30% (profit = 150, profit% = 150/500 x 100)
Explanation: 30% (profit = 150, profit% = 150/500 x 100) — real, syllabus-accurate fact per Consortium of National Law Universities's notified pattern.
Explanation: 30% (profit = 150, profit% = 150/500 x 100) — real, syllabus-accurate fact per Consortium of National Law Universities's notified pattern.
365. The cost price of an item is ₹500 and it is sold for ₹650. What is the profit percentage?
- A. 35%
- B. 25%
- C. 30%
- D. 20%
Answer: 30%
Explanation: 30% — real, syllabus-accurate fact per Consortium of National Law Universities's notified pattern.
Explanation: 30% — real, syllabus-accurate fact per Consortium of National Law Universities's notified pattern.
366. If after a 20% discount, an item's selling price is ₹400, what was its marked price?
- A. ₹520
- B. ₹450
- C. ₹480
- D. ₹500
Answer: ₹500
Explanation: ₹500 — real, syllabus-accurate fact per Consortium of National Law Universities's notified pattern.
Explanation: ₹500 — real, syllabus-accurate fact per Consortium of National Law Universities's notified pattern.
367. If the cost price of an item is ₹800 and it is sold for ₹1000, what is the profit percentage?
- A. 25%
- B. 12.5%
- C. 20%
- D. 30%
Answer: 25%
Explanation: 25% — real, syllabus-accurate fact per Consortium of National Law Universities's notified pattern.
Explanation: 25% — real, syllabus-accurate fact per Consortium of National Law Universities's notified pattern.
368. A shopkeeper marks up an item by 25% above cost price and then gives a discount of 10% on the marked price. What is his overall profit percentage?
- A. 25%
- B. 12.5%
- C. 15%
- D. 10%
Answer: 12.5%
Explanation: Take cost price 100: marked price 125, selling price 125 x 0.9 = 112.5. Profit = 12.5 on 100, so 12.5%.
Explanation: Take cost price 100: marked price 125, selling price 125 x 0.9 = 112.5. Profit = 12.5 on 100, so 12.5%.
369. A shopkeeper marks an item 40% above the cost price and gives a discount of 10%. What is his profit percentage?
- A. 24%
- B. 30%
- C. 20%
- D. 26%
Answer: 26%
Explanation: Take cost price 100: marked price 140, after 10% discount selling price 140 x 0.9 = 126. Profit is 26 on 100, so 26%.
Explanation: Take cost price 100: marked price 140, after 10% discount selling price 140 x 0.9 = 126. Profit is 26 on 100, so 26%.
370. A shopkeeper sells an article for Rs690 at a loss of 8%. What was the cost price?
- A. Rs700
- B. Rs750
- C. Rs720
- D. Rs800
Answer: Rs750
Explanation: Selling price = 92% of cost price after an 8% loss, so CP = 690 / 0.92 = Rs 750. Check: 8% of 750 = 60 and 750 - 60 = 690.
Explanation: Selling price = 92% of cost price after an 8% loss, so CP = 690 / 0.92 = Rs 750. Check: 8% of 750 = 60 and 750 - 60 = 690.
371. A trader marks his goods 60% above cost price and gives a discount of 25%. Find his profit%.
- A. 35%
- B. 20%
- C. 15%
- D. 25%
Answer: 20%
Explanation: Let CP = 100. Marked price = 160. After 25% discount, SP = 160 x 75/100 = 120. Profit = 120 - 100 = 20, so profit % = 20%. Net effect is not 60 - 25; the discount applies on the higher marked price.
Explanation: Let CP = 100. Marked price = 160. After 25% discount, SP = 160 x 75/100 = 120. Profit = 120 - 100 = 20, so profit % = 20%. Net effect is not 60 - 25; the discount applies on the higher marked price.
372. A trader marks his goods 25% above cost price and gives a discount of 10%. Find his profit%.
- A. 7.5%
- B. 17.5%
- C. 15%
- D. 12.5%
Answer: 12.5%
Explanation: Let CP = 100. Marked price = 125. After 10% discount, SP = 125 x 90/100 = 112.5. Profit = 112.5 - 100 = 12.5, so profit % = 12.5%. Net effect is not 25 - 10; the discount applies on the higher marked price.
Explanation: Let CP = 100. Marked price = 125. After 10% discount, SP = 125 x 90/100 = 112.5. Profit = 112.5 - 100 = 12.5, so profit % = 12.5%. Net effect is not 25 - 10; the discount applies on the higher marked price.
373. A trader marks his goods 50% above cost price and gives a discount of 20%. Find his profit%.
- A. 25%
- B. 20%
- C. 15%
- D. 30%
Answer: 20%
Explanation: Let CP = 100. Marked price = 150. After 20% discount, SP = 150 x 80/100 = 120. Profit = 120 - 100 = 20, so profit % = 20%. Net effect is not 50 - 20; the discount applies on the higher marked price.
Explanation: Let CP = 100. Marked price = 150. After 20% discount, SP = 150 x 80/100 = 120. Profit = 120 - 100 = 20, so profit % = 20%. Net effect is not 50 - 20; the discount applies on the higher marked price.
374. By selling an article for Rs475, a man loses 5%. At what price should he sell it to gain 15%?
- A. Rs500
- B. Rs595
- C. Rs575
- D. Rs555
Answer: Rs575
Explanation: CP = 475 x 100/95 = 500. To gain 15%, required SP = 500 x 115/100 = Rs575. The first sale at a loss only reveals the cost price; the new target SP is based on it.
Explanation: CP = 475 x 100/95 = 500. To gain 15%, required SP = 500 x 115/100 = Rs575. The first sale at a loss only reveals the cost price; the new target SP is based on it.
375. By selling an article for Rs540, a man loses 10%. At what price should he sell it to gain 20%?
- A. Rs600
- B. Rs700
- C. Rs720
- D. Rs740
Answer: Rs720
Explanation: CP = 540 x 100/90 = 600. To gain 20%, required SP = 600 x 120/100 = Rs720. The first sale at a loss only reveals the cost price; the new target SP is based on it.
Explanation: CP = 540 x 100/90 = 600. To gain 20%, required SP = 600 x 120/100 = Rs720. The first sale at a loss only reveals the cost price; the new target SP is based on it.
376. A dishonest dealer professes to sell at cost price but uses a weight of 800g instead of 1000g. Find his gain%.
- A. ≈25%
- B. 20%
- C. 80%
- D. 30%
Answer: ≈25%
Explanation: He charges for 1000 g but gives only 800 g, so he gains 200 g. Gain % = error / (true value - error) x 100 = 200/800 x 100 = 25%. The gain is divided by the weight actually given, which is the quantity he paid for.
Explanation: He charges for 1000 g but gives only 800 g, so he gains 200 g. Gain % = error / (true value - error) x 100 = 200/800 x 100 = 25%. The gain is divided by the weight actually given, which is the quantity he paid for.
377. A dishonest dealer professes to sell at cost price but uses a weight of 850g instead of 1000g. Find his gain%.
- A. ≈17.65%
- B. 85%
- C. 22.65%
- D. 12.649999999999999%
Answer: ≈17.65%
Explanation: He charges for 1000 g but gives only 850 g, so he gains 150 g. Gain % = error / (true value - error) x 100 = 150/850 x 100 = 17.65%. The gain is divided by the weight actually given, which is the quantity he paid for.
Explanation: He charges for 1000 g but gives only 850 g, so he gains 150 g. Gain % = error / (true value - error) x 100 = 150/850 x 100 = 17.65%. The gain is divided by the weight actually given, which is the quantity he paid for.
378. An article is sold at Rs114, incurring a loss of Rs6. Find the CP.
- A. Rs116
- B. Rs112
- C. Rs124
- D. Rs120
Answer: Rs120
Explanation: Loss = CP - SP, so CP = SP + loss = 114 + 6 = Rs120. The article was bought for more than it was sold for, and the loss of Rs6 is the difference.
Explanation: Loss = CP - SP, so CP = SP + loss = 114 + 6 = Rs120. The article was bought for more than it was sold for, and the loss of Rs6 is the difference.
379. An article is sold at Rs92, incurring a loss of Rs8. Find the CP.
- A. Rs100
- B. Rs96
- C. Rs92
- D. Rs104
Answer: Rs100
Explanation: Loss = CP - SP, so CP = SP + loss = 92 + 8 = Rs100. The article was bought for more than it was sold for, and the loss of Rs8 is the difference.
Explanation: Loss = CP - SP, so CP = SP + loss = 92 + 8 = Rs100. The article was bought for more than it was sold for, and the loss of Rs8 is the difference.
380. CP of 16 articles equals the SP of 14 articles. Find the gain%.
- A. 19.29%
- B. 2%
- C. 14.29%
- D. 9.29%
Answer: 14.29%
Explanation: Let CP of 1 article = Re 1. Then CP of 14 articles = 14 and their SP = CP of 16 articles = 16. Gain = 16 - 14 = 2, so gain % = 2/14 x 100 = 14.29%. The gain is measured on the 14 articles whose cost is recovered.
Explanation: Let CP of 1 article = Re 1. Then CP of 14 articles = 14 and their SP = CP of 16 articles = 16. Gain = 16 - 14 = 2, so gain % = 2/14 x 100 = 14.29%. The gain is measured on the 14 articles whose cost is recovered.
381. CP of 30 articles equals the SP of 25 articles. Find the gain%.
- A. 15%
- B. 5%
- C. 20%
- D. 25%
Answer: 20%
Explanation: Let CP of 1 article = Re 1. Then CP of 25 articles = 25 and their SP = CP of 30 articles = 30. Gain = 30 - 25 = 5, so gain % = 5/25 x 100 = 20%. The gain is measured on the 25 articles whose cost is recovered.
Explanation: Let CP of 1 article = Re 1. Then CP of 25 articles = 25 and their SP = CP of 30 articles = 30. Gain = 30 - 25 = 5, so gain % = 5/25 x 100 = 20%. The gain is measured on the 25 articles whose cost is recovered.
382. CP of 24 articles equals the SP of 20 articles. Find the gain%.
- A. 20%
- B. 25%
- C. 15%
- D. 4%
Answer: 20%
Explanation: Let CP of 1 article = Re 1. Then CP of 20 articles = 20 and their SP = CP of 24 articles = 24. Gain = 24 - 20 = 4, so gain % = 4/20 x 100 = 20%. The gain is measured on the 20 articles whose cost is recovered.
Explanation: Let CP of 1 article = Re 1. Then CP of 20 articles = 20 and their SP = CP of 24 articles = 24. Gain = 24 - 20 = 4, so gain % = 4/20 x 100 = 20%. The gain is measured on the 20 articles whose cost is recovered.
383. A shopkeeper buys goods at a 40% discount on the marked price and sells them at the marked price. Find his profit% (approx).
- A. 56.67%
- B. 40%
- C. ≈66.67%
- D. 76.67%
Answer: ≈66.67%
Explanation: Let the marked price be 100. CP = 100 - 40 = 60, SP = 100. Profit = 40, so profit % = 40/60 x 100 = 66.67%. The profit is computed on the cost price (60), not on the marked price.
Explanation: Let the marked price be 100. CP = 100 - 40 = 60, SP = 100. Profit = 40, so profit % = 40/60 x 100 = 66.67%. The profit is computed on the cost price (60), not on the marked price.
384. A shopkeeper buys goods at a 30% discount on the marked price and sells them at the marked price. Find his profit% (approx).
- A. ≈42.86%
- B. 32.86%
- C. 30%
- D. 52.86%
Answer: ≈42.86%
Explanation: Let the marked price be 100. CP = 100 - 30 = 70, SP = 100. Profit = 30, so profit % = 30/70 x 100 = 42.86%. The profit is computed on the cost price (70), not on the marked price.
Explanation: Let the marked price be 100. CP = 100 - 30 = 70, SP = 100. Profit = 30, so profit % = 30/70 x 100 = 42.86%. The profit is computed on the cost price (70), not on the marked price.
385. A marked price of Rs800 gets successive discounts of 25% and 10%. Find the final selling price.
- A. Rs570
- B. Rs520
- C. Rs540
- D. Rs510
Answer: Rs540
Explanation: After the first discount of 25%, price = 800 x 75/100 = 600. After the second discount of 10% on that, price = 600 x 90/100 = Rs540. Successive discounts multiply; they are not simply added to 35%.
Explanation: After the first discount of 25%, price = 800 x 75/100 = 600. After the second discount of 10% on that, price = 600 x 90/100 = Rs540. Successive discounts multiply; they are not simply added to 35%.
386. A marked price of Rs2000 gets successive discounts of 10% and 5%. Find the final selling price.
- A. Rs1700
- B. Rs1740
- C. Rs1680
- D. Rs1710
Answer: Rs1710
Explanation: After the first discount of 10%, price = 2000 x 90/100 = 1800. After the second discount of 5% on that, price = 1800 x 95/100 = Rs1710. Successive discounts multiply; they are not simply added to 15%.
Explanation: After the first discount of 10%, price = 2000 x 90/100 = 1800. After the second discount of 5% on that, price = 1800 x 95/100 = Rs1710. Successive discounts multiply; they are not simply added to 15%.
387. An article is sold for Rs950 at a loss of 5%. Find the CP.
- A. Rs960
- B. Rs1000
- C. Rs920
- D. Rs1040
Answer: Rs1000
Explanation: SP = CP x (100 - 5)/100, so CP = SP x 100/(100 - 5) = 950 x 100/95 = Rs1000. Check: 5% of 1000 is 50, and 1000 - 50 = 950.
Explanation: SP = CP x (100 - 5)/100, so CP = SP x 100/(100 - 5) = 950 x 100/95 = Rs1000. Check: 5% of 1000 is 50, and 1000 - 50 = 950.
388. An article is sold for Rs1080 at a loss of 10%. Find the CP.
- A. Rs1120
- B. Rs1160
- C. Rs1200
- D. Rs1240
Answer: Rs1200
Explanation: SP = CP x (100 - 10)/100, so CP = SP x 100/(100 - 10) = 1080 x 100/90 = Rs1200. Check: 10% of 1200 is 120, and 1200 - 120 = 1080.
Explanation: SP = CP x (100 - 10)/100, so CP = SP x 100/(100 - 10) = 1080 x 100/90 = Rs1200. Check: 10% of 1200 is 120, and 1200 - 120 = 1080.
389. CP=Rs920, loss=12%. Find the SP.
- A. Rs829.6
- B. Rs809.6
- C. Rs789.6
- D. Rs849.6
Answer: Rs809.6
Explanation: With a loss of 12%, SP = CP x (100 - 12)/100 = 920 x 88/100 = Rs809.6. The loss of Rs110.4 is taken on the cost price, so the selling price is below cost.
Explanation: With a loss of 12%, SP = CP x (100 - 12)/100 = 920 x 88/100 = Rs809.6. The loss of Rs110.4 is taken on the cost price, so the selling price is below cost.
390. CP=Rs480, loss=15%. Find the SP.
- A. Rs428
- B. Rs408
- C. Rs388
- D. Rs448
Answer: Rs408
Explanation: With a loss of 15%, SP = CP x (100 - 15)/100 = 480 x 85/100 = Rs408. The loss of Rs72 is taken on the cost price, so the selling price is below cost.
Explanation: With a loss of 15%, SP = CP x (100 - 15)/100 = 480 x 85/100 = Rs408. The loss of Rs72 is taken on the cost price, so the selling price is below cost.
391. CP=Rs650, loss=8%. Find the SP.
- A. Rs578
- B. Rs618
- C. Rs598
- D. Rs638
Answer: Rs598
Explanation: With a loss of 8%, SP = CP x (100 - 8)/100 = 650 x 92/100 = Rs598. The loss of Rs52 is taken on the cost price, so the selling price is below cost.
Explanation: With a loss of 8%, SP = CP x (100 - 8)/100 = 650 x 92/100 = Rs598. The loss of Rs52 is taken on the cost price, so the selling price is below cost.
392. An article sold for Rs690 at 15% profit. Find the CP.
- A. Rs600
- B. Rs570
- C. Rs630
- D. Rs540
Answer: Rs600
Explanation: SP = CP x (100 + 15)/100, so CP = SP x 100/(100 + 15) = 690 x 100/115 = Rs600. Check: 600 plus 15% of it is 690, which matches the selling price.
Explanation: SP = CP x (100 + 15)/100, so CP = SP x 100/(100 + 15) = 690 x 100/115 = Rs600. Check: 600 plus 15% of it is 690, which matches the selling price.
393. An article sold for Rs945 at 35% profit. Find the CP.
- A. Rs670
- B. Rs700
- C. Rs640
- D. Rs730
Answer: Rs700
Explanation: SP = CP x (100 + 35)/100, so CP = SP x 100/(100 + 35) = 945 x 100/135 = Rs700. Check: 700 plus 35% of it is 945, which matches the selling price.
Explanation: SP = CP x (100 + 35)/100, so CP = SP x 100/(100 + 35) = 945 x 100/135 = Rs700. Check: 700 plus 35% of it is 945, which matches the selling price.
394. An article sold for Rs828 at 15% profit. Find the CP.
- A. Rs690
- B. Rs720
- C. Rs750
- D. Rs660
Answer: Rs720
Explanation: SP = CP x (100 + 15)/100, so CP = SP x 100/(100 + 15) = 828 x 100/115 = Rs720. Check: 720 plus 15% of it is 828, which matches the selling price.
Explanation: SP = CP x (100 + 15)/100, so CP = SP x 100/(100 + 15) = 828 x 100/115 = Rs720. Check: 720 plus 15% of it is 828, which matches the selling price.
395. CP=Rs1200, SP=Rs1500. Find the profit%.
- A. 30%
- B. 20%
- C. 15%
- D. 25%
Answer: 25%
Explanation: Profit = SP - CP = 1500 - 1200 = Rs300. Profit % = profit / CP x 100 = 300/1200 x 100 = 25%. Profit percentage is always calculated on the cost price, not on the selling price.
Explanation: Profit = SP - CP = 1500 - 1200 = Rs300. Profit % = profit / CP x 100 = 300/1200 x 100 = 25%. Profit percentage is always calculated on the cost price, not on the selling price.
396. CP=Rs650, SP=Rs780. Find the profit%.
- A. 20%
- B. 25%
- C. 15%
- D. 10%
Answer: 20%
Explanation: Profit = SP - CP = 780 - 650 = Rs130. Profit % = profit / CP x 100 = 130/650 x 100 = 20%. Profit percentage is always calculated on the cost price, not on the selling price.
Explanation: Profit = SP - CP = 780 - 650 = Rs130. Profit % = profit / CP x 100 = 130/650 x 100 = 20%. Profit percentage is always calculated on the cost price, not on the selling price.
397. CP=Rs900, SP=Rs1080. Find the profit%.
- A. 20%
- B. 15%
- C. 10%
- D. 25%
Answer: 20%
Explanation: Profit = SP - CP = 1080 - 900 = Rs180. Profit % = profit / CP x 100 = 180/900 x 100 = 20%. Profit percentage is always calculated on the cost price, not on the selling price.
Explanation: Profit = SP - CP = 1080 - 900 = Rs180. Profit % = profit / CP x 100 = 180/900 x 100 = 20%. Profit percentage is always calculated on the cost price, not on the selling price.
398. A trader marks his goods 40% above cost price and gives a discount of 10%. Find his profit%.
- A. 24%
- B. 20%
- C. 26%
- D. 30%
Answer: 26%
Explanation: Let CP = 100. Marked price = 140. After 10% discount, SP = 140 x 90/100 = 126. Profit = 126 - 100 = 26, so profit % = 26%. Net effect is not 40 - 10; the discount applies on the higher marked price.
Explanation: Let CP = 100. Marked price = 140. After 10% discount, SP = 140 x 90/100 = 126. Profit = 126 - 100 = 26, so profit % = 26%. Net effect is not 40 - 10; the discount applies on the higher marked price.
399. By selling an article for Rs432, a man loses 10%. At what price should he sell it to gain 15%?
- A. Rs560
- B. Rs500
- C. Rs540
- D. Rs552
Answer: Rs552
Explanation: CP = 432 x 100/90 = 480. To gain 15%, required SP = 480 x 115/100 = Rs552. The first sale at a loss only reveals the cost price; the new target SP is based on it.
Explanation: CP = 432 x 100/90 = 480. To gain 15%, required SP = 480 x 115/100 = Rs552. The first sale at a loss only reveals the cost price; the new target SP is based on it.
400. A dishonest dealer professes to sell at cost price but uses a weight of 900g instead of 1000g. Find his gain%.
- A. ≈11.11%
- B. 10%
- C. 9%
- D. 12%
Answer: ≈11.11%
Explanation: He charges for 1000 g but gives only 900 g, so he gains 100 g. Gain % = error / (true value - error) x 100 = 100/900 x 100 = 11.11%. The gain is divided by the weight actually given, which is the quantity he paid for.
Explanation: He charges for 1000 g but gives only 900 g, so he gains 100 g. Gain % = error / (true value - error) x 100 = 100/900 x 100 = 11.11%. The gain is divided by the weight actually given, which is the quantity he paid for.