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401. A man buys a table for Rs1200 and a chair for Rs800. He sells the table at 10% profit and the chair at 5% loss. Find his overall profit or loss.
- A. Rs40 profit
- B. Rs80 profit
- C. No profit no loss
- D. Rs80 loss
Answer: Rs80 profit
Explanation: Total CP = 1200 + 800 = Rs2000. Table SP = 1200 x 110/100 = 1320; chair SP = 800 x 95/100 = 760. Total SP = 2080. Net = 2080 - 2000 = Rs80 profit, because the profit of Rs120 on the table exceeds the Rs40 loss on the chair.
402. An article is sold at Rs68, incurring a loss of Rs12. Find the CP.
- A. Rs85
- B. Rs78
- C. Rs75
- D. Rs80
Answer: Rs80
Explanation: Loss = CP - SP, so CP = SP + loss = 68 + 12 = Rs80. The article was bought for more than it was sold for, and the loss of Rs12 is the difference.
403. A trader allows a discount of 10% on the marked price and still gains 8%. If the CP is Rs500, find the marked price.
- A. Rs550
- B. Rs620
- C. Rs580
- D. Rs600
Answer: Rs600
Explanation: With CP Rs500 and 8% gain, SP = 500 x 108/100 = Rs540. This is 90% of the marked price after a 10% discount, so marked price = 540 x 100/90 = Rs600.
404. CP of 18 articles equals the SP of 15 articles. Find the gain%.
- A. 16.67%
- B. 25%
- C. 20%
- D. 18%
Answer: 20%
Explanation: Let CP of 1 article = Re 1. Then CP of 15 articles = 15 and their SP = CP of 18 articles = 18. Gain = 18 - 15 = 3, so gain % = 3/15 x 100 = 20%. The gain is measured on the 15 articles whose cost is recovered.
405. By selling an article for Rs391, a man loses 15%. Find the CP.
- A. Rs450
- B. Rs460
- C. Rs470
- D. Rs480
Answer: Rs460
Explanation: SP = 85% of CP because of the 15% loss, so CP = 391 x 100/85 = Rs460. Check: 15% of 460 = 69 and 460 - 69 = 391, matching the selling price.
406. A shopkeeper buys goods at a 25% discount on the marked price and sells them at the marked price. Find his profit% (approx).
- A. ≈33.33%
- B. 30%
- C. 40%
- D. 25%
Answer: ≈33.33%
Explanation: Let the marked price be 100. CP = 100 - 25 = 75, SP = 100. Profit = 25, so profit % = 25/75 x 100 = 33.33%. The profit is computed on the cost price (75), not on the marked price.
407. Find the selling price of an article with CP=Rs2000 and profit=12%.
- A. Rs2280
- B. Rs2150
- C. Rs2200
- D. Rs2240
Answer: Rs2240
Explanation: Profit = 12% of 2000 = 0.12 x 2000 = Rs240. Selling price = CP + profit = 2000 + 240 = Rs2240 (equivalently 2000 x 112/100).
408. A marked price of Rs1200 gets successive discounts of 10% and 5%. Find the final selling price.
- A. Rs1026
- B. Rs1000
- C. Rs1020
- D. Rs1040
Answer: Rs1026
Explanation: After the first discount of 10%, price = 1200 x 90/100 = 1080. After the second discount of 5% on that, price = 1080 x 95/100 = Rs1026. Successive discounts multiply; they are not simply added to 15%.
409. A man buys an article for Rs600 and sells it at a loss of Rs60. Find the loss%.
- A. 15%
- B. 12%
- C. 8%
- D. 10%
Answer: 10%
Explanation: Loss % = loss / CP x 100 = 60/600 x 100 = 10%. The selling price is 600 - 60 = Rs540, which is 90% of the cost price, confirming a 10% loss.
410. An article is sold for Rs935 at a loss of 15%. Find the CP.
- A. Rs1000
- B. Rs1050
- C. Rs1150
- D. Rs1100
Answer: Rs1100
Explanation: SP = CP x (100 - 15)/100, so CP = SP x 100/(100 - 15) = 935 x 100/85 = Rs1100. Check: 15% of 1100 is 165, and 1100 - 165 = 935.
411. A shopkeeper buys 20 articles for Rs800 and sells them at Rs50 each. Find his profit%.
- A. 30%
- B. 25%
- C. 15%
- D. 20%
Answer: 25%
Explanation: Cost price of one article = 800/20 = Rs40, and it is sold at Rs50, so profit per article = Rs10. Profit % = 10/40 x 100 = 25%. The percentage is based on the cost of Rs40, not the selling price.
412. CP=Rs700, loss=12%. Find the SP.
- A. Rs616
- B. Rs630
- C. Rs588
- D. Rs600
Answer: Rs616
Explanation: With a loss of 12%, SP = CP x (100 - 12)/100 = 700 x 88/100 = Rs616. The loss of Rs84 is taken on the cost price, so the selling price is below cost.
413. A shopkeeper sells an item at 10% loss. If he had sold it for Rs66 more, he would have gained 10%. Find the CP.
- A. Rs360
- B. Rs300
- C. Rs330
- D. Rs320
Answer: Rs330
Explanation: A 10% loss and a 10% gain differ by 20% of CP, so 20% of CP = Rs66, giving CP = 66 x 100/20 = Rs330. Check: 90% of 330 = 297 and 110% of 330 = 363, and 363 - 297 = 66.
414. CP of 15 pens is equal to SP of 12 pens. Find the gain%.
- A. 16.67%
- B. 30%
- C. 20%
- D. 25%
Answer: 25%
Explanation: Let CP of 1 article = Re 1. Then CP of 12 articles = 12 and their SP = CP of 15 articles = 15. Gain = 15 - 12 = 3, so gain % = 3/12 x 100 = 25%. The gain is measured on the 12 articles whose cost is recovered.
415. A man sold two articles at Rs1000 each; one at 25% profit, other at 25% loss. Find the overall gain/loss%.
- A. 6.25% profit
- B. 12.5% loss
- C. No profit no loss
- D. 6.25% loss
Answer: 6.25% loss
Explanation: CP of first = 1000 x 100/125 = 800; CP of second = 1000 x 100/75 = 1333.33. Total CP = 2133.33, total SP = 2000, so loss = 133.33 and loss % = 133.33/2133.33 x 100 = 6.25%. Equal profit and loss percentages on the same SP always give a loss of (x^2)/100 = 6.25%.
416. An article sold for Rs660 at 20% profit. Find the CP.
- A. Rs528
- B. Rs600
- C. Rs550
- D. Rs580
Answer: Rs550
Explanation: SP = CP x (100 + 20)/100, so CP = SP x 100/(100 + 20) = 660 x 100/120 = Rs550. Check: 550 plus 20% of it is 660, which matches the selling price.
417. CP of 18 apples is equal to SP of 15 apples. Find the gain%.
- A. 25%
- B. 20%
- C. 18%
- D. 15%
Answer: 20%
Explanation: Let CP of 1 article = Re 1. Then CP of 15 articles = 15 and their SP = CP of 18 articles = 18. Gain = 18 - 15 = 3, so gain % = 3/15 x 100 = 20%. The gain is measured on the 15 articles whose cost is recovered.
418. CP=Rs600, SP=Rs750. Find the profit%.
- A. 30%
- B. 22%
- C. 25%
- D. 20%
Answer: 25%
Explanation: Profit = SP - CP = 750 - 600 = Rs150. Profit % = profit / CP x 100 = 150/600 x 100 = 25%. Profit percentage is always calculated on the cost price, not on the selling price.
419. CP of 21 pens is equal to SP of 18 pens. Find the gain%.
- A. ≈16.67%
- B. 18%
- C. 15%
- D. 20%
Answer: ≈16.67%
Explanation: Let CP of 1 article = Re 1. Then CP of 18 articles = 18 and their SP = CP of 21 articles = 21. Gain = 21 - 18 = 3, so gain % = 3/18 x 100 = 16.67%. The gain is measured on the 18 articles whose cost is recovered.
420. An article is sold at Rs85, incurring a loss of Rs15. Find the CP.
- A. Rs95
- B. Rs100
- C. Rs110
- D. Rs90
Answer: Rs100
Explanation: Loss = CP - SP, so CP = SP + loss = 85 + 15 = Rs100. The article was bought for more than it was sold for, and the loss of Rs15 is the difference.
421. A trader marks his goods 30% above cost price and gives a discount of 20%. Find his profit%.
- A. 8%
- B. 10%
- C. 4%
- D. 6%
Answer: 4%
Explanation: Let CP = 100. Marked price = 130. After 20% discount, SP = 130 x 80/100 = 104. Profit = 104 - 100 = 4, so profit % = 4%. Net effect is not 30 - 20; the discount applies on the higher marked price.
422. CP of 20 articles equals the SP of 16 articles. Find the gain%.
- A. 20%
- B. 16.67%
- C. 25%
- D. 30%
Answer: 25%
Explanation: Let CP of 1 article = Re 1. Then CP of 16 articles = 16 and their SP = CP of 20 articles = 20. Gain = 20 - 16 = 4, so gain % = 4/16 x 100 = 25%. The gain is measured on the 16 articles whose cost is recovered.
423. A dishonest dealer professes to sell at cost price but uses a weight of 750g instead of 1000g. Find his gain%.
- A. 30%
- B. 40%
- C. ≈33.3%
- D. 25%
Answer: ≈33.3%
Explanation: He charges for 1000 g but gives only 750 g, so he gains 250 g. Gain % = error / (true value - error) x 100 = 250/750 x 100 = 33.33%. The gain is divided by the weight actually given, which is the quantity he paid for.
424. A shopkeeper buys goods at a 20% discount on the marked price and sells them at the marked price. Find his profit%.
- A. 22%
- B. 20%
- C. 30%
- D. 25%
Answer: 25%
Explanation: Let the marked price be 100. CP = 100 - 20 = 80, SP = 100. Profit = 20, so profit % = 20/80 x 100 = 25%. The profit is computed on the cost price (80), not on the marked price.
425. An article is sold at Rs75, incurring a loss of Rs15. Find the CP.
- A. Rs95
- B. Rs100
- C. Rs90
- D. Rs85
Answer: Rs90
Explanation: Loss = CP - SP, so CP = SP + loss = 75 + 15 = Rs90. The article was bought for more than it was sold for, and the loss of Rs15 is the difference.
426. A marked price of Rs1000 gets successive discounts of 15% and 10%. Find the final selling price.
- A. Rs775
- B. Rs750
- C. Rs765
- D. Rs800
Answer: Rs765
Explanation: After the first discount of 15%, price = 1000 x 85/100 = 850. After the second discount of 10% on that, price = 850 x 90/100 = Rs765. Successive discounts multiply; they are not simply added to 25%.
427. An article sold for Rs644 at 15% profit. Find the CP.
- A. Rs580
- B. Rs560
- C. Rs550
- D. Rs570
Answer: Rs560
Explanation: SP = CP x (100 + 15)/100, so CP = SP x 100/(100 + 15) = 644 x 100/115 = Rs560. Check: 560 plus 15% of it is 644, which matches the selling price.
428. An article is sold for Rs990 at a loss of 10%. Find the CP.
- A. Rs1050
- B. Rs1100
- C. Rs1150
- D. Rs1000
Answer: Rs1100
Explanation: SP = CP x (100 - 10)/100, so CP = SP x 100/(100 - 10) = 990 x 100/90 = Rs1100. Check: 10% of 1100 is 110, and 1100 - 110 = 990.
429. An article sold for Rs828 at 20% profit. Find the CP.
- A. Rs690
- B. Rs710
- C. Rs700
- D. Rs680
Answer: Rs690
Explanation: SP = CP x (100 + 20)/100, so CP = SP x 100/(100 + 20) = 828 x 100/120 = Rs690. Check: 690 plus 20% of it is 828, which matches the selling price.
430. CP=Rs500, loss=10%. Find the SP.
- A. Rs420
- B. Rs450
- C. Rs460
- D. Rs480
Answer: Rs450
Explanation: With a loss of 10%, SP = CP x (100 - 10)/100 = 500 x 90/100 = Rs450. The loss of Rs50 is taken on the cost price, so the selling price is below cost.
431. CP=Rs550, loss=10%. Find the SP.
- A. Rs505
- B. Rs500
- C. Rs490
- D. Rs495
Answer: Rs495
Explanation: With a loss of 10%, SP = CP x (100 - 10)/100 = 550 x 90/100 = Rs495. The loss of Rs55 is taken on the cost price, so the selling price is below cost.
432. CP of 12 pens is equal to SP of 10 pens. Find the gain%.
- A. 20%
- B. 10%
- C. 16.67%
- D. 25%
Answer: 20%
Explanation: Let CP of 1 article = Re 1. Then CP of 10 articles = 10 and their SP = CP of 12 articles = 12. Gain = 12 - 10 = 2, so gain % = 2/10 x 100 = 20%. The gain is measured on the 10 articles whose cost is recovered.
433. CP=Rs400, loss=20%. Find the SP.
- A. Rs340
- B. Rs320
- C. Rs310
- D. Rs330
Answer: Rs320
Explanation: With a loss of 20%, SP = CP x (100 - 20)/100 = 400 x 80/100 = Rs320. The loss of Rs80 is taken on the cost price, so the selling price is below cost.
434. A man sold two articles at Rs1200 each; one at 20% profit, other at 20% loss. Find the overall gain/loss%.
- A. 4% loss
- B. 4% profit
- C. 8% loss
- D. No profit no loss
Answer: 4% loss
Explanation: CP of first = 1200 x 100/120 = 1000; CP of second = 1200 x 100/80 = 1500. Total CP = 2500, total SP = 2400, so loss = 100 and loss % = 100/2500 x 100 = 4%. Equal profit and loss percentages on the same SP always give a loss of (x^2)/100 = 4%.
435. CP=Rs1500, SP=Rs1800. Find the profit%.
- A. 25%
- B. 20%
- C. 15%
- D. 18%
Answer: 20%
Explanation: Profit = SP - CP = 1800 - 1500 = Rs300. Profit % = profit / CP x 100 = 300/1500 x 100 = 20%. Profit percentage is always calculated on the cost price, not on the selling price.
436. An article sold for Rs720 at 20% profit. Find the CP.
- A. Rs700
- B. Rs600
- C. Rs576
- D. Rs650
Answer: Rs600
Explanation: SP = CP x (100 + 20)/100, so CP = SP x 100/(100 + 20) = 720 x 100/120 = Rs600. Check: 600 plus 20% of it is 720, which matches the selling price.
437. CP=Rs560, SP=Rs700. Find the profit%.
- A. 20%
- B. 30%
- C. 22%
- D. 25%
Answer: 25%
Explanation: Profit = SP - CP = 700 - 560 = Rs140. Profit % = profit / CP x 100 = 140/560 x 100 = 25%. Profit percentage is always calculated on the cost price, not on the selling price.
438. CP=Rs800, SP=Rs960. Find the profit%.
- A. 18%
- B. 20%
- C. 16%
- D. 24%
Answer: 20%
Explanation: Profit = SP - CP = 960 - 800 = Rs160. Profit % = profit / CP x 100 = 160/800 x 100 = 20%. Profit percentage is always calculated on the cost price, not on the selling price.
439. CP=Rs750, SP=Rs900. Find the profit%.
- A. 22%
- B. 20%
- C. 25%
- D. 18%
Answer: 20%
Explanation: Profit = SP - CP = 900 - 750 = Rs150. Profit % = profit / CP x 100 = 150/750 x 100 = 20%. Profit percentage is always calculated on the cost price, not on the selling price.
440. What is the marked price of the suitcase? I. When a discount of 15% is offered, the profit earned is 10.5%. II. The cost price of the suitcase is ₹ 1500. III. The marked price is 30% above the cost price.
- A. I only
- B. Either I or III
- C. Any one of the three
- D. All I, II and III are required
Answer: Either I or III
441. What is the percent profit earned by the shopkeeper on selling the articles in his shop? I. Labelled price of the articles sold was 130% of the cost price. II. Cost price of each article was ₹ 550. III.A discount of 10% on labelled price was offered.
- A. Only I
- B. Only II
- C. Only III
- D. All the three are required
Answer: Only II
442. What was the percentage of discount given? I. 23.5% profit was earned by selling an almirah for ₹ 12,350. II. If there were no discount, the earned profit would have been 30%. III. The cost price of the almirah was ₹ 10,000.
- A. Only I and II
- B. Only II and III
- C. Only I and III
- D. None of these
Answer: None of these
443. An item costing ₹ 3000 is sold at a certain discount. Find the rate of discount offered. I. The profit earned after discount is 5%. II. Had the discount rate been doubled, the seller incurs a loss of 15%. III. The item is marked at a price 25% above the cost price.
- A. Only I and II
- B. Only II and III
- C. Only I and III
- D. Any two of the three
Answer: Any two of the three
444. By selling an article what is the profit percent gained? I. 5% discount is given on list price. II. If discount is not given, 20% profit is gained. III. The cost price of the article is ₹ 5000.
- A. Only I and II
- B. Only II and III
- C. Only I and III
- D. All I, II and III
Answer: Only I and II
445. How much profit did Manick earn on the cost price of an article by selling it? I. He got 15% discount on the marked price at the time of purchase. II. He sold it for ₹ 3060. III. He earned 2% profit on the marked price.
- A. I and II only
- B. II and III only
- C. I only or II and III together
- D. All I, II and III
Answer: All I, II and III
446. What was the cost price of the watch? I. The shopkeeper labelled the price of the watch 20% above the cost price. II. After allowing a discount of 15% on the labelled price, the shopkeeper charges ₹ 408 for the watch. III. Had there been no discount, the shopkeeper would have earned 20% profit.
- A. I, and either II or III
- B. II, and either I or III
- C. III, and either I or II
- D. I and II only
Answer: II, and either I or III
447. What was the amount of profit earned? I. 10% discount was offered on the labelled price. II. Had there been no discount, profit would have been 30%. III. Selling price was more than the cost price by 20%.
- A. All I, II and III
- B. Any two of the three
- C. III, and either I or II
- D. Question cannot be answered even with the information in all the three statements.
Answer: Question cannot be answered even with the information in all the three statements.
448. How many articles were sold? (Bank P.O., 2008) I. Total profit earned was ₹ 1596. II. Cost price per article was ₹ 632. III. Selling price per article was ₹ 765.
- A. Any two of the three
- B. I and II only
- C. II and III only
- D. All I, II and III
Answer: All I, II and III
449. What is the profit earned by selling a laptop for ₹ 26250? (Bank P.O., 2009) I. The cost price of 5 such laptops is equal to selling price of 4 such laptops. II. 25% profit is earned by selling each laptop.
- A. If the data in Statement I alone are sufficient to answer the question, while the data in Statement II alone are not sufficient to answer the question.
- B. If the data in Statement II alone are sufficient to answer the question, while the data in Statement I alone are not sufficient to answer the question.
- C. If the data either in Statement I alone or in Statement II alone are sufficient to answer the question.
- D. If the data given in both Statements I and II together are not sufficient to answer the question.
Answer: If the data either in Statement I alone or in Statement II alone are sufficient to answer the question.
450. How much profit did Anand make by selling a bed? I. He bought the bed with 40% discount on labelled price. II. He sold it with 20% profit on the labelled price.
- A. If the data in Statement I alone are sufficient to answer the question, while the data in Statement II alone are not sufficient to answer the question.
- B. If the data in Statement II alone are sufficient to answer the question, while the data in Statement I alone are not sufficient to answer the question.
- C. If the data either in Statement I alone or in Statement II alone are sufficient to answer the question.
- D. If the data given in both Statements I and II together are not sufficient to answer the question.
Answer: If the data given in both Statements I and II together are not sufficient to answer the question.
451. What is the price of a banana? I. A man can buy 14 bananas and 35 oranges for ₹ 84. II. With 50% discount on the price of bananas, ₹ 12 would buy 4 bananas and 5 oranges.
- A. If the data in Statement I alone are sufficient to answer the question, while the data in Statement II alone are not sufficient to answer the question.
- B. If the data in Statement II alone are sufficient to answer the question, while the data in Statement I alone are not sufficient to answer the question.
- C. If the data either in Statement I alone or in Statement II alone are sufficient to answer the question.
- D. If the data given in both Statements I and II together are not sufficient to answer the question.
Answer: If the data given in both Statements I and II together are not sufficient to answer the question.
Explanation: Let the price of a banana be ₹ x and that of an orange ₹ y. I. 14x + 35y = 84 ⇒ 2x + 5y = 12 ...(i) II. 4 5 12 2 x ×+ = y ⇒ 2x + 5y = 12 ...(ii) Thus, even I and II together do not give the answer. ∴ Correct answer is (d).
452. A trader sold two washing machines each for ₹ 7392. What was his total profit or loss on these two transactions? I. On one transaction he got a profit of 12% on investment II. On the other transaction he suffered a loss of 4% on investment.
- A. If the data in Statement I alone are sufficient to answer the question, while the data in Statement II alone are not sufficient to answer the question.
- B. If the data in Statement II alone are sufficient to answer the question, while the data in Statement I alone are not sufficient to answer the question.
- C. If the data either in Statement I alone or in Statement II alone are sufficient to answer the question.
- D. If the data in both Statements I and II together are necessary to answer the question.
Answer: If the data in both Statements I and II together are necessary to answer the question.
453. By selling a product for ₹ 200, how much profit was earned? I. The profit was 25 percent of the cost price. II. 12.5 percent profit would have been earned if the product had been sold for ₹ 180.
- A. If the data in Statement I alone are sufficient to answer the question, while the data in Statement II alone are not sufficient to answer the question.
- B. If the data in Statement II alone are sufficient to answer the question, while the data in Statement I alone are not sufficient to answer the question.
- C. If the data either in Statement I alone or in Statement II alone are sufficient to answer the question.
- D. If the data given in both Statements I and II together are not sufficient to answer the question.
Answer: If the data either in Statement I alone or in Statement II alone are sufficient to answer the question.
454. What percent is the earned profit? (Bank P.O., 2003, 2005, 2007) I. 10% discount is offered on the marked price. II. If no discount is given, the profit will be 30%.
- A. If the data in Statement I alone are sufficient to answer the question, while the data in Statement II alone are not sufficient to answer the question.
- B. If the data in Statement II alone are sufficient to answer the question, while the data in Statement I alone are not sufficient to answer the question.
- C. If the data either in Statement I alone or in Statement II alone are sufficient to answer the question.
- D. If the data in both Statements I and II together are necessary to answer the question.
Answer: If the data in both Statements I and II together are necessary to answer the question.
455. What was the cost price of the suitcase purchased by Richard? (SNAP, 2005) I. Richard got 20% concession on the labelled price. II. Richard sold the suitcase for ₹ 2000 with 25% profit on the labelled price.
- A. If the data in Statement I alone are sufficient to answer the question, while the data in Statement II alone are not sufficient to answer the question.
- B. If the data in Statement II alone are sufficient to answer the question, while the data in Statement I alone are not sufficient to answer the question.
- C. If the data either in Statement I alone or in Statement II alone are sufficient to answer the question.
- D. If the data in both Statements I and II together are necessary to answer the question.
Answer: If the data in both Statements I and II together are necessary to answer the question.
456. What is the cost price of the cassette? I. The percent profit made when the cassette is sold for ₹ 78 is twice as much as when it is sold for ₹ 69. II. If the price of the cassette is marked at 20% above the cost price and a discount of 10% is offered on the marked price, the seller gains 8%.
- A. If the data in Statement I alone are sufficient to answer the question, while the data in Statement II alone are not sufficient to answer the question.
- B. If the data in Statement II alone are sufficient to answer the question, while the data in Statement I alone are not sufficient to answer the question.
- C. If the data either in Statement I alone or in Statement II alone are sufficient to answer the question.
- D. If the data given in both Statements I and II together are not sufficient to answer the question.
Answer: If the data in Statement I alone are sufficient to answer the question, while the data in Statement II alone are not sufficient to answer the question.
457. What is the percent profit earned by selling the product? I. The profit earned was ₹ 50. II. Had it been sold for ₹ 310, the profit would have been ₹ 70.
- A. If the data in Statement I alone are sufficient to answer the question, while the data in Statement II alone are not sufficient to answer the question.
- B. If the data in Statement II alone are sufficient to answer the question, while the data in Statement I alone are not sufficient to answer the question.
- C. If the data either in Statement I alone or in Statement II alone are sufficient to answer the question.
- D. If the data given in both Statements I and II together are not sufficient to answer the question.
Answer: If the data in Statement II alone are sufficient to answer the question, while the data in Statement I alone are not sufficient to answer the question.
458. A man mixes two types of rice (X and Y) and sells the mixture at the rate of ₹ 17 per kg. Find his profit percentage. I. The rate of X is ₹ 20 per kg. II. The rate of Y is ₹ 13 per kg.
- A. If the data in Statement I alone are sufficient to answer the question, while the data in Statement II alone are not sufficient to answer the question.
- B. If the data in Statement II alone are sufficient to answer the question, while the data in Statement I alone are not sufficient to answer the question.
- C. If the data either in Statement I alone or in Statement II alone are sufficient to answer the question.
- D. If the data given in both Statements I and II together are not sufficient to answer the question.
Answer: If the data given in both Statements I and II together are not sufficient to answer the question.
Explanation: The ratio in which X and Y are mixed, is not given. So, both I and II together cannot give the answer. ∴ Correct answer is (d).
459. A pair of skis originally cost $160. After a discount of x%, the skis were discounted y%. Do the skis cost less than $130 after the discounts? (M.B.A., 2006) I. x = 20 II. y = 15
- A. If the data in Statement I alone are sufficient to answer the question, while the data in Statement II alone are not sufficient to answer the question.
- B. If the data in Statement II alone are sufficient to answer the question, while the data in Statement I alone are not sufficient to answer the question.
- C. If the data either in Statement I alone or in Statement II alone are sufficient to answer the question.
- D. If the data given in both Statements I and II together are not sufficient to answer the question.
Answer: If the data in Statement I alone are sufficient to answer the question, while the data in Statement II alone are not sufficient to answer the question.
460. What is the percentage profit on the cost price? (M.A.T., 2008) I. The cost price is ₹ 368.35. II. There is a 20% profit on the selling price.
- A. If the data in Statement I alone are sufficient to answer the question, while the data in Statement II alone are not sufficient to answer the question.
- B. If the data in Statement II alone are sufficient to answer the question, while the data in Statement I alone are not sufficient to answer the question.
- C. If the data either in Statement I alone or in Statement II alone are sufficient to answer the question.
- D. If the data given in both Statements I and II together are not sufficient to answer the question.
Answer: If the data in Statement II alone are sufficient to answer the question, while the data in Statement I alone are not sufficient to answer the question.
461. How much was the loss? (M.B.A., 2005) I. The cost is ₹ 300. II. The loss is 25% of the selling price.
- A. If the data in Statement I alone are sufficient to answer the question, while the data in Statement II alone are not sufficient to answer the question.
- B. If the data in Statement II alone are sufficient to answer the question, while the data in Statement I alone are not sufficient to answer the question.
- C. If the data either in Statement I alone or in Statement II alone are sufficient to answer the question.
- D. If the data in both Statements I and II together are necessary to answer the question.
Answer: If the data in both Statements I and II together are necessary to answer the question.
462. What would have been the selling price per kg of rice? I. 50 kg of rice was purchased for ₹ 3350 and ₹ 150 were spent on transport. II. Profit earned was 5%.
- A. If the data in Statement I alone are sufficient to answer the question, while the data in Statement II alone are not sufficient to answer the question.
- B. If the data in Statement II alone are sufficient to answer the question, while the data in Statement I alone are not sufficient to answer the question.
- C. If the data either in Statement I alone or in Statement II alone are sufficient to answer the question.
- D. If the data in both Statements I and II together are necessary to answer the question.
Answer: If the data in both Statements I and II together are necessary to answer the question.
463. What was the percent profit/loss made/incurred by selling an article for ₹ 24000? I. The ratio of the selling price to the cost price of the article is 5 : 3. II. The difference between the cost price and the selling price is ₹ 9600.
- A. If the data in Statement I alone are sufficient to answer the question, while the data in Statement II alone are not sufficient to answer the question.
- B. If the data in Statement II alone are sufficient to answer the question, while the data in Statement I alone are not sufficient to answer the question.
- C. If the data either in Statement I alone or in Statement II alone are sufficient to answer the question.
- D. If the data given in both Statements I and II together are not sufficient to answer the question.
Answer: If the data in Statement I alone are sufficient to answer the question, while the data in Statement II alone are not sufficient to answer the question.
464. What is the cost price of the article? I. The profit earned on the article is one-third of the cost price. II. The article is sold for ₹ 400.
- A. If the data in Statement I alone are sufficient to answer the question, while the data in Statement II alone are not sufficient to answer the question.
- B. If the data in Statement II alone are sufficient to answer the question, while the data in Statement I alone are not sufficient to answer the question.
- C. If the data either in Statement I alone or in Statement II alone are sufficient to answer the question.
- D. If the data in both Statements I and II together are necessary to answer the question.
Answer: If the data in both Statements I and II together are necessary to answer the question.
465. What is the amount of profit earned? (Bank P.O., 2006) I. 20% profit is earned by selling an article for ₹ 1740. II. Cost price of the article is ₹ 1450.
- A. If the data in Statement I alone are sufficient to answer the question, while the data in Statement II alone are not sufficient to answer the question.
- B. If the data in Statement II alone are sufficient to answer the question, while the data in Statement I alone are not sufficient to answer the question.
- C. If the data either in Statement I alone or in Statement II alone are sufficient to answer the question.
- D. If the data given in both Statements I and II together are not sufficient to answer the question.
Answer: If the data in Statement I alone are sufficient to answer the question, while the data in Statement II alone are not sufficient to answer the question.
466. By selling a product with 20% profit, how much profit was earned? I. The difference between cost and selling price is ₹ 40. II. The selling price is 120 percent of the cost price.
- A. If the data in Statement I alone are sufficient to answer the question, while the data in Statement II alone are not sufficient to answer the question.
- B. If the data in Statement II alone are sufficient to answer the question, while the data in Statement I alone are not sufficient to answer the question.
- C. If the data either in Statement I alone or in Statement II alone are sufficient to answer the question.
- D. If the data given in both Statements I and II together are not sufficient to answer the question.
Answer: If the data in Statement I alone are sufficient to answer the question, while the data in Statement II alone are not sufficient to answer the question.
Explanation: Gain = 20% I. Profit = (S.P.) – (C.P.) = ₹ 40. Thus, I gives the answer. But, II does not give the answer. ∴ Correct answer is (a).
467. A shopkeeper sells some articles at the profit of 25% on the original price. What is the exact amount of profit? To find the answer, which of the following information given in Statements I and II is /are necessary? I. Sale price of the article II. Number of articles sold
- A. Only I is necessary.
- B. Only II is necessary.
- C. Either I or II is necessary.
- D. Both I and II are necessary.
Answer: Both I and II are necessary.
Explanation: Gain = 25% of C.P. In order to find gain, we must know the sale price of each article and the number of articles sold. ∴ Correct answer is (d).
468. A shopkeeper sells some toys at ₹ 250 each. What percent profit does he make? To find the answer, which of the following information given in Statements I and II is /are necessary? I. Number of toys sold II. Cost price of each toy
- A. Only I is necessary.
- B. Only II is necessary.
- C. Both I and II are necessary.
- D. Either I or II is necessary.
Answer: Only II is necessary.
Explanation: S.P. = ₹ 250 each. To find gain percent, we must know the C.P. of each. ∴ Correct answer is (b).
469. The price of an article is first increased by 20% and later on decreased by 25% due to reduction in sales. Find the net percentage change in final price of the article.
- A. 20%
- B. 18%
- C. 38%
- D. None of these
Answer: None of these
470. The price of a cycle is marked at ₹ 1150. A shopkeeper earns a profit of 15% after allowing a discount of 15% on the marked price. Find the cost price of the cycle.
- A. ₹ 900
- B. ₹ 1000
- C. ₹ 850
- D. ₹ 950
Answer: ₹ 850
Explanation: Marked price of cycle = ₹ 1150 Discount percent = 15% Sale price = 1150 15 1150 100 × − = ₹ (1150 – 172.5) = ₹ 977.5 Let CP of cycle be ₹ x According to given information x + 15% of x = ₹ 977.5 ⇒ 115 977.5 100x = EXER 977.5 100 115 x × = x = ₹ 850
471. Supriya sold a washing machine for ₹ 8500. She incurred a loss of 15% in this transaction. At what price had she bought the washing machine?
- A. ₹ 10000
- B. ₹ 1200
- C. ₹ 11000
- D. ₹ 10500
Answer: ₹ 10000
472. A publisher sells books to a dealer at ₹ 5 per copy but counts 25 copies as 24. If the dealer sells each copy at ₹ 6, what is his profit percent?
- A. 20%
- B. 24%
- C. 25%
- D. 40%
Answer: 25%
Explanation: C.P. of each copy = ₹ 5 C.P. of 24 copies = ₹ (24 × 5) = ₹ 120 S.P. of 25 copies = ₹ (25 × 6) = ₹ 150 Profit = ₹ (150 – 120) = ₹ 30 Profit per cent = 30 100 120 × = 25%
473. The profit from selling a chair for ₹ 752 is 1.2 times the loss from selling it for ₹ 400. What is the cost price?
- A. ₹ 540
- B. ₹ 592
- C. ₹ 560
- D. None of these
Answer: ₹ 560
Explanation: Let C.P. of chair be ₹ x According to the question, 752 – a = (a – 400) × 1.2 ⇒ 752 – a = 1.2a – 480 ⇒ 1.2a + a = 752 + 480 ⇒ 2.2a = 1232 ⇒ a = 1232 560 2.2 = ₹
474. Meena Kumari buys a saree for ₹ 5,225 including 12% sales tax. The shopkeeper gives a discount equal in amount to the sales tax. By how much (nearest value) is the price reduced?
- A. ₹ 615
- B. ₹ 650
- C. ₹ 560
- D. ₹ 580
Answer: ₹ 560
Explanation: Price of saree including sales tax = ₹ 5225 Cost price without sales tax 5,225 100 4,665 112 = ×= The price is decreased = ₹ (5,225 – 4,665) = 560
475. The value of a machine depreciates every year at the rate of 10% on its value at the beginning of that year. If the present value of the machine is ₹ 729, its worth three years ago was
- A. ₹ 947.70
- B. ₹ 1000
- C. ₹ 750.87
- D. ₹ 800
Answer: ₹ 1000
476. The selling price of an article including 10% sales tax is ₹ 1232. If the shopkeeper makes a 12% profit, what is the cost price?
- A. ₹ 900
- B. ₹ 950
- C. ₹ 1000
- D. ₹ 1120
Answer: ₹ 1000
477. Sanjay made an 8% profit on a shirt after allowing a 12% discount. The marked price is ₹ 1080. Find its cost price.
- A. 890
- B. 780
- C. 880
- D. 900
Answer: 880
Explanation: Marked price of shirt = ₹ 1080 Selling price of shirt = ₹ 1080 - 1080 12 100 × = ₹ (1080 – 129.60) = ₹ 950.40 Let cost price of shirt is ₹ x. ∴ 8 950.40 100x x × += ⇒ 108 950.40 100x = x = 950.40 × 100 108 = ₹ 880
478. Subroto sold an article for ₹ 528 after allowing a discount of 12% on its marked price. What was the marked price of the article?
- A. ₹ 600
- B. ₹ 700
- C. ₹ 650
- D. ₹ 590
Answer: ₹ 600
479. Srinivas sold an article for ₹ 6800 at a loss. Had he sold it for ₹ 7850, his gain would have been half of that loss. At what price should he sell for a 20% profit?
- A. ₹ 7500
- B. ₹ 9000
- C. ₹ 10680
- D. ₹ 9600
Answer: ₹ 10680
Explanation: Let the cost price of a article be x. Then, loss = (6800 – x) Again, profit = (7850 – x) According to given information we get Now, (7850 – x) = (6800 ) 2 − x 15700 – 2x = 6800 – x x = 15700 – 6800 = 8900 If profit % = 20% then ∴ Selling price = 8900 120 100 × = ₹ 10680
480. Raza purchased a bicycle for ₹ 6810. He had paid a VAT of 13.5%. The list price of the bicycle was
- A. ₹ 6696.50
- B. ₹ 6140
- C. ₹ 5970.50
- D. ₹ 6000
Answer: ₹ 6000
Explanation: VAT % = 13.5% Cost price (including VAT) = ₹ 6810 ∴ List price = 6810 100 113.5 ×= ₹ 6000