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241. The sum of weights of A and B is 80 kg. 50% of A's weight is 56 times the weight of B. Find the difference between their weights.
- A. 20 kg
- B. 25 kg
- C. 15 kg
- D. 10 kg
Answer: 20 kg
Explanation: According to the question. Sum of weight of A and B = 80 kg ∵ A 5 B2 6= A 5B 3= ∵ 8 unit →80 kg A - B = 2 unit → 20 kg Hence, difference between their weights = 20 kg
242. When a number is increased by 240, it becomes 120% of itself. What is the number ?
- A. 1200
- B. 2200
- C. 1400
- D. 2400
Answer: 1200
Explanation: ∵ 20% = 240 1% = 12 100% = 1200 The number is 1200.
243. Two numbers are 70% and 55% lesser than a third number. By what % should the first number be increased so that it becomes equal to the second number?
- A. 60
- B. 80
- C. 50
- D. 100
Answer: 50
Explanation: Let the third number = 100 I : II : III = 30 : 45 : 100 Required increased % = 15 100 5030 × = %
244. In an examination, 92% of the students passed and 480 students failed. If so, how many students appeared in the examination?
- A. 6000
- B. 5800
- C. 5000
- D. 6200
Answer: 6000
Explanation: ∵ 92% student passed in exam Thus 8% student are failed According to question 8% = 480 1% = 60 100% = 6000 Thus the total number of students = 6000
245. Two numbers are 90% and 75% lesser than a third number. By what % should the first number be increased so that it becomes equal to the second number?
- A. 250
- B. 200
- C. 150
- D. 100
Answer: 150
Explanation: Let the third number = 100 I : II : III = 10 : 25 : 100 = 100 : 250 : 1000 Required increased % = 150 100 150100 × = %
246. What is to be added to 15% of 180 so that the sum is equal to 20% of 360?
- A. 60
- B. 45
- C. 50
- D. 40
Answer: 45
247. Rajan spent 10% of his salary on rent. He spent 20% of the remaining part of the salary on transport. After which he spent 40% of the balance of the salary on food. Further, he spent 80% of the balance on various bills. He deposits ₹5000 in the bank and kept the remaining ₹1480 for his own petty expenditure. Find his monthly salary (in ₹).
- A. 75000
- B. 80000
- C. 64800
- D. 82500
Answer: 75000
248. A's salary is 15% less then B's salary, B's salary is 30% less than C's salary. By how much percent approximately, is C's salary more than A's salary?
- A. 45
- B. 75
- C. 40
- D. 68
Answer: 68
Explanation: According to the question. A : B = 85 : 100 = 17 : 20 B : C = 70 : 100 = 7 : 10 A B C 17×7 20×7 10×20 119 140 200 ∴Required%= 81 100119 × ≈68%
249. Two numbers are less than a third number by 37% and 30% respectively. By what percentage is the second number more than the first?
- A. 1009
- B. 109
- C. 10
- D. 1003
Answer: 1009
Explanation: According to the question, Required percentage = 7 10010063 9× = 100 %9=
250. 24% of Reena's Salary is equal to 38% of Sunita's Salary. Veena's Salary is two-third of the total salary of Reena and Sunita. If Veena's Salary is Rs. 62,000 then Sunita's Salary is.
- A. ₹36,000
- B. ₹38,000
- C. ₹35,000
- D. ₹32,000
Answer: ₹36,000
Explanation: According to the question, Total salary of Reena and Sunita = 362000 2× = 93000 24 38Reena Sunita100 100× = × ⇒ 12 Reena = 19 Sunita ⇒Reena/Sunita = 19/12 ∴Sunita's salary = 1293000 3600031× = ₹
251. 35% of the students in a college are girls and the rest are boys. The total number of students in the college is 2800. 75% of the boys and 85% of the girls passed the final examination. The percentage of total students who passed the find examination is
- A. 80%
- B. 82%
- C. 78%
- D. 78.5%
Answer: 78.5%
252. What is the value of 9% of 5500 + 2.4% of 1100-40% of 1600?
- A. 181.6
- B. -118.6
- C. 118.6
- D. -181.6
Answer: 181.6
253. What is the value of x, if 25% of 480 + 30% of 500 + x% of 90 = 35% of 900?
- A. 45
- B. 40
- C. 55
- D. 50
Answer: 45
254. If A is 28% less than B and C is 25% less than the sum of A and B, then by what percentage will C be more than A (correct to one decimal place)?
- A. 84.3%
- B. 75.5%
- C. 81.6%
- D. 79.2%
Answer: 79.2%
Explanation: Let B = 100 Then, 100 72A 72100×= = And 75C 172 100= × = 129 Required percentage 129 72 10072-= × ≈ 79.2%
255. A, B and C are positive numbers such that A is 70% of B, and B is 40% of C. If the sum of all three number is 336, then 15% of the sum of B and C is
- A. 48
- B. 42
- C. 32
- D. 44
Answer: 42
256. In a workshop with 80 students and 10 resource persons, sweets were distributed at the end of the workshop. The amount spent for distributing sweets to each student was 30% of the total number of students and amount spent towards each resource persons was 40% of the total number of students. The total amount spent for sweets distribution in the work ship was
- A. ₹2420
- B. ₹2440
- C. ₹2400
- D. ₹2240
Answer: ₹2240
Explanation: Total no. of students = 80 Total no. of resource persons = 10 Amount spent on each student 80 30100×= = 24 Amount spent on each resource person = 4080 100× = 32 Total amount spent = 80 × 24 + 10 × 32 = 1920 + 320 =₹2240
257. Rita spends 25% of her monthly income on house rent and 30% of the remaining income on food. If she saves ₹5250, what is her monthly income?
- A. ₹12000
- B. ₹16000
- C. ₹10000
- D. ₹14000
Answer: ₹10000
Explanation: 25% = 14 , 30% = 310 Let total monthly income of Rita = 40 units Her savings = 40-(10+9) = 21 units 21 units = ₹5250 1 unit = ₹250 Total monthly income = 40 units = ₹10000
258. In a class the ratio of rural to urban students is 4 :7. In an examination the average percentage marks of the rural and the urban students are respectively 65 and 63. What is the overall percentage marks of the class (correct to two decimal places) ?
- A. 63.73%
- B. 65.87%
- C. 64.37%
- D. 73.63%
Answer: 63.73%
259. The total number of students in a school is 1400, out of which 35% of the students are girls and the rest are boys. If 80% of the boys and 90% of the girls passed in an annual examination, then the percentage of the students who failed is
- A. 16.5
- B. 21.5
- C. 17.4
- D. 15.8
Answer: 16.5
Explanation: Number of girls in the school 351400 100= × = 490 Number of boys in the school = 1400 - 490 = 910 The number of students who failed 10 20490 910100 100= × + × = 49 + 182 = 231 Failed % 231 100 16.5%1400= × =
260. Two numbers are respectively, 17% and 50% more than a third number. The ratio of the two numbers is
- A. 39 : 50
- B. 50 : 39
- C. 59 : 39
- D. 39 : 59
Answer: 39 : 50
Explanation: Let third number = 100 Let the number are A, B and C- According to the question, A = 117 B = 150 C = 100 A : B = 117 : 150 = 39 : 50
261. Two numbers are 32% and 48% more than a third number. What percentage (correct to two decimal places) is the second of the first?
- A. 89.19%
- B. 112.12%
- C. 102.19%
- D. 150.12%
Answer: 112.12%
262. Ramesh invested 30% more than Suresh. Suresh invested 40% less than Arun, who invested ₹ 8,000. The total amount invested by all of them together is
- A. ₹ 19,020
- B. ₹ 18,020
- C. ₹ 19,040
- D. ₹ 19,080
Answer: ₹ 19,040
Explanation: According to the question, Ramesh : Suresh = 13:10 Suresh : Arun = 60:100 = 3:5 Ramesh : Suresh : Arun = 39:30:50 ∵ 50 units - 8000 1 unit - 160 119 units - 160 × 119 = ₹19,040
263. A reduction of 15% in the price of sugar enables Aruna Rai to buy 6 kg more for ₹272. The reduced price of sugar per kg is
- A. ₹7.80
- B. ₹6
- C. ₹6.80
- D. ₹6.50
Answer: ₹6.80
264. Due to 20% reduction in the price of wheat per kg, Ram is able to buy 5 kg more for Rs. 800. What is the original quantity (in kg) of wheat?
- A. 50
- B. 20
- C. 40
- D. 30
Answer: 20
Explanation: Reduced price 20800 160100= × = 160 is the price of 5kg of wheat So, for 1 kg = 160/5 = 32 Original price : - As reduction is 20%, So, 80% = Rs. 32 ⇒ 100% = Rs. 40 ∴ Original quantity = Rs. 800/40 = 20 kg
265. A number was divided by 8, instead of being multiplied by 8. As a result of this, there was an error in the answer. What is the percentage difference (correct to two places of decimal) in the answer due to this miscalculation?
- A. 48.67%
- B. 67.33%
- C. 98.44%
- D. 72.00%
Answer: 98.44%
266. In an examination, 45% of the students who appeared are boys and the rest are girls. If 60% of the boys and 70% of the girls passed, then what is the percentage of students who failed ?
- A. 36
- B. 40
- C. 35.4
- D. 34.5
Answer: 34.5
Explanation: Let the total number of student be 100. According to the question - ∵ Boys = 45 ∴ Girls = 55 Number of passed boys 45 60 27100×= = Number of passed girls 55 70 38.5100×= = Total percentage of failed students = [100-(27+38.5) ] = 34.5%
267. A man started off a business with a certain capital amount. In the first year, he earned 60% profit and donated 50% of the total capital (initial amount + profit). He followed the same procedure with the remaining capital after the second and the third year. If at the end of the three years, he is left with ₹15,360, what was the initial amount (in ₹) with which the man started his business?
- A. 20,000
- B. 30,000
- C. 25,000
- D. 32,000
Answer: 30,000
Explanation: Let, initial amount = ₹x Profit → 100% +60% = 160% 85= Donate → 50% = 12 Year Principal Amount Donate= Remaining Ist year x 8x 5 8x 15 2× IInd year 8x 10 8x 810 5× 8x 8 110 5 2× × IIIrd year 16 x25 16x 825 5× 16x 8 125 5 2× × According to the question, At the end of the year, 16x 8 1 15,36025 5 2⇒ × × = 15360 5 2 25x 16 8× × ×⇒ = × x 30,000⇒ = Hence, the initial amount is ₹30,000
268. If 60% of (x - y) = 45% of (x + y) and y = k% of x, then 21% of k is equal to
- A. 1
- B. 6
- C. 7
- D. 3
Answer: 3
269. A number is first increased by 20% and then reduced by 15%. If the final value is 2040, then what is the initial value of the number?
- A. 2100
- B. 1800
- C. 2000
- D. 1900
Answer: 2000
270. 91% of A is 39% of B, and B is x% of A, then the value of x is
- A. 2003
- B. 7003
- C. 4003
- D. 5003
Answer: 2003
Explanation: (b) 91% of A = 39% of B A 39 B 91= , A 3B 7= B = x% of A x7 3100= × 700 = 3x 700x 3=
271. The price of a TV has been reduced by 20%. In order to restore the original price, the new price must be increased by
- A. 20%
- B. 28%
- C. 31%
- D. 25%
Answer: 25%
Explanation: Let the original price of T.V. = ₹100 ∴ On reducing 20% price = ₹80 According to the question:- To restore the original price new price will be increased by ₹20 ∴ % increase 20 100 25%80= × =
272. X is 35% less than Y, Z is 40% more than the sum of X and Y. By what percent is Z more than two times X (correct to one decimal places)
- A. 75.4%
- B. 77.7%
- C. 75.8%
- D. 78.1%
Answer: 77.7%
273. If 40% of 2/5 of a number is 24, then the number is
- A. 136
- B. 148
- C. 150
- D. 154
Answer: 150
274. The value of a motorcycle depreciates every year by 4%. What will be its value after 2 years, if its present value is ₹75,000?
- A. ₹70,120
- B. ₹69,000
- C. ₹69,120
- D. ₹72,000
Answer: ₹69,120
275. When a number is increased by 216, it becomes 140% of itself. What is the number?
- A. 540
- B. 756
- C. 450
- D. 675
Answer: 540
276. If 20% of a number is subtracted from a second number and the second number is reduced to 70%, then what will be the ratio of the first number and the second number?
- A. 3:2
- B. 4:3
- C. 2:3
- D. 3:4
Answer: 3:2
Explanation: Let the first number be x and second number be y. x 20 y 70y -100 100× × = x 7yy -5 10= 5y - x 7y5 10= 10y - 2x = 7y 3y = 2x x 3y 2=
277. A number is first increased by 5% and then it is increased by 20%. By what percentage (correct up to two decimal places) should he reduce his consumption of sugar so as to be able to maintain the same level of expenditure?
- A. 16%
- B. 26%
- C. 30%
- D. 18%
Answer: 26%
278. If A is 150% of B and B is 40% of C. If A + B + C is 20 then find the value of 2B + 3C - 5A.
- A. 15
- B. 20
- C. 16
- D. 14
Answer: 14
279. When the price of sugar gets raised by 30%, a person increases his expenditure on sugar only by 12%. By what percentage (correct up to two decimal places) should he reduce his consumption of sugar so as to be able to maintain the same level of expenditure?
- A. 12.75%
- B. 13.85%
- C. 11. 54%
- D. 15.75%
Answer: 13.85%
280. The annual salary of Suhas has increased from ₹18,00,000 to ₹22,00,000. What is the percentage increase? (correct to two decimal places)
- A. 18.18%
- B. 22.22%
- C. 81.81%
- D. 33.33%
Answer: 22.22%
Explanation: According to the question, Required % 2200000 1800000 1001800000-= × 400000 200100 22.22%1800000 9= × = =
281. In a factory with 400 employees, the ratio of the number of male employees to that of female employees is 5 : 3. There are 87.5%, regular employees in the factory. If 92% of male employees are regular employees, then what is the percentage of regular female employees?
- A. 85%
- B. 77%
- C. 87.5%
- D. 80%
Answer: 80%
282. A reduction of 15% in the price of wheat enables a housewife to buy 6 kg more for ₹2720. The reduced price of wheat per kg (in ₹) is
- A. 65
- B. 75
- C. 70
- D. 68
Answer: 68
283. A batsman scored 120 runs, which included 4 sixes and 6 fours. What percentage of his total score did he make by running between the wickets (runs that were scored only by running between the wickets and not by hitting fours and sixes)?
- A. 40%
- B. 50%
- C. 30%
- D. 60%
Answer: 60%
284. The price of sugar increases by 15%. By what percentage should the consumption of sugar be decreased so that the expenditure on the purchase of sugar remains the same? [Give you answer correct to two decimal places.]
- A. 13.04%
- B. 12.5%
- C. 11.11%
- D. 14.16%
Answer: 13.04%
285. The average pass percentage of girls in class XII examination in a school is 80 and that of boys is 75. The average pass percentage in class XII of that school is 76.5. Find the percentage of the number of boys in class XII of the school.
- A. 70%
- B. 65%
- C. 72%
- D. 60%
Answer: 70%
286. There are 350 eggs in basket. If 12% eggs are rotten so how many eggs are left to sell?
- A. 408
- B. 310
- C. 308
- D. 410
Answer: 308
Explanation: According to the question- จ 100 % = 350 ง 88 % = 350 88 308100 × = Hence, number of eggs left to be sold = 308
287. Two numbers A and B are 10% and 25% more than third number respectively. What is the ratio of A and B?
- A. 22 : 25
- B. 19 : 25
- C. 23 : 25
- D. 18 : 25
Answer: 22 : 25
Explanation: Let the third number = 100 then, first number = 110 Second number = 125 Required number = 110 : 125 = 22 : 25
288. The number 0.05 is what percentage of 20?
- A. 25%
- B. 2.5%
- C. 0.025%
- D. 0.25%
Answer: 2.5%
289. If A = 1300 and B = 1450, then B is approximat ely what percentage more than A?
- A. 9.86%
- B. 7.41%
- C. 11.54%
- D. 13.46%
Answer: 11.54%
Explanation: According to the question, Increases% 1450 -13001001300= × 15013= = 11.54%
290. A tree height of 50 m was cut so that the height of the tree gets reduced by 10%. Find the present height of the tree.
- A. 15 m
- B. 25 m
- C. 45 m
- D. 35 m
Answer: 45 m
291. 600-A = 65% of 200. What is the value of A?
- A. 490
- B. 470
- C. 450
- D. 460
Answer: 470
Explanation: 600 - A = 200 × 65100 600 - 130 = A A 470=
292. In a class of 50 students and 6 teachers, each student got a number of chocolates that is equal to 16% of the total number of students, and each teacher got a number of chocolates that is equal to 12% of the total number of students. How many chocolates were there in total?
- A. 450
- B. 420
- C. 360
- D. 436
Answer: 436
Explanation: According to the question Number of chocolates given to each student = 16% Total number of chocolates given to each students = 50 16100× = 8 Total number of chocolates got by students = 8 × 50 = 400 Number of chocolates given to each teacher = 50 12100× = 6 Total number of chocolates got by teacher = 6 × 6 = 36 Hence, total number of chocolates = 400 + 36 = 436
293. The difference between 73% of a number and 45% of the same number is 112. Find the number.
- A. 550
- B. 500
- C. 400
- D. 450
Answer: 400
294. If A : B = 2 : 3, B is 20% less than C. C is what percent more than A?
- A. 87.5%
- B. 85%
- C. 82.5%
- D. 75%
Answer: 87.5%
Explanation: Given, A : B = 2 : 3 According to the question B : C = 4 : 5 Required % = 15 - 8100 8 × = 87.5%
295. Two numbers are, 17% and 50% more than a third number respectively. The ratio of the two numbers is
- A. 19 : 11
- B. 29 : 25
- C. 39 : 50
- D. 27 : 25
Answer: 39 : 50
Explanation: Let the third number = 100 According to the question First number = Third numb er × (100 + 17)% 117100 117100= × = Second number = Third number × (100 + 50)% 150100 100= × = 150 Ratio of both numbers = 117 : 150 = 39 : 50
296. If the numerator of a fraction is increased by 12%, and its denominator is decreased by 8%, the value of that fraction becomes 1617 . then Find the original fraction.
- A. 2823
- B. 11992
- C. 2328
- D. 92119
Answer: 92119
Explanation: Let the fraction be xy . According to the question x 112 16y 92 17× =× x 7 4y 23 17× =× x 4 23 92y 7 17 119×= =× Hence original fraction = 92119
297. If, in a competitive exam, the marks obtained by Sam are 19% less than those of Peter, then the marks obtained by Peter are how much percentage more than the marks obtained by Sam? (correct to two decimal places)
- A. 21.50%
- B. 22.25%
- C. 28.64%
- D. 23.46%
Answer: 23.46%
298. If four-fifths of five-sixths of one-eight of a certain number is 4365, then what is 65% of that number?
- A. 34,047
- B. 52,380
- C. 36,375
- D. 53,280
Answer: 34,047
299. The number of students in a school increases and decreases by 20% every alternate year. If started with growth in the year 2015 and initially the number of students was 3000. Find the number of students and percentage of increases in number of students in the school in the year 2017 respectively.
- A. 4556,17.2%
- B. 3556,16.2%
- C. 3456,15.2%
- D. 4456,14.2%
Answer: 3456,15.2%
Explanation: Number of students = 3000 Number of students in 2015 = 3000 + 3000× 20 100 = 3600 Number of students in 2016 = 3600 - 3600× 20 100 3600 - 720 = 2880 Number of students in 2017 = 2880 + 2880 × 20100 = 3456 % increase (3456 - 3000)100 15.2%3000= × =
300. Two numbers A and B are such that the sum of 6% of A and 4% of B is 2/5 of the sum of 7% of A and 11% of B, then what is the value of A : B?
- A. 1 : 7
- B. 5 : 8
- C. 1 : 8
- D. 3 : 7
Answer: 1 : 8
301. The price of an item is first increased by 25% and then decreased by 20%. What is the net percentage change?
- A. 0% (no net change)
- B. 5% increase
- C. 10% increase
- D. 5% decrease
Answer: 0% (no net change)
Explanation: After a 25% rise the price is 1.25 times; a 20% fall makes it 1.25 x 0.8 = 1.00 times the original. The net change is 0%.
302. What is 15% of 240 added to 20% of 150?
- A. 54
- B. 60
- C. 72
- D. 66
Answer: 66
Explanation: 15% of 240 = 36 and 20% of 150 = 30. Their sum is 36 + 30 = 66.
303. If 20% of a number is 50, what is 45% of the same number?
- A. 112.5
- B. 90
- C. 125
- D. 100
Answer: 112.5
Explanation: 20% of the number = 50, so the number = 50/0.2 = 250. Then 45% of 250 = 112.5.
304. A man spends 85% of his income and saves Rs900. Find his income.
- A. Rs5500
- B. Rs6500
- C. Rs5000
- D. Rs6000
Answer: Rs6000
Explanation: Savings = 100% - 85% = 15% of income. 15% of income = Rs900, so income = 900 x 100 / 15 = Rs6000.
305. A man spends 65% of his income and saves Rs2100. Find his income.
- A. Rs6000
- B. Rs5500
- C. Rs6500
- D. Rs5000
Answer: Rs6000
Explanation: Savings = 100% - 65% = 35% of income. 35% of income = Rs2100, so income = 2100 x 100 / 35 = Rs6000.
306. A man spends 75% of his income and saves Rs1500. Find his income.
- A. Rs5000
- B. Rs6500
- C. Rs5500
- D. Rs6000
Answer: Rs6000
Explanation: Savings = 100% - 75% = 25% of income. 25% of income = Rs1500, so income = 1500 x 100 / 25 = Rs6000.
307. A number is decreased by 10% and then increased by 15%. Find the net percentage change.
- A. 10% increase
- B. 3.5% increase
- C. No change
- D. 5% decrease
Answer: 3.5% increase
Explanation: Take 100. After a 10% fall it is 90; a 15% rise on that gives 90 x 1.15 = 103.5. Net change = 3.5% increase, because the rise applies to the reduced base, not the original.
308. A number is decreased by 35% and then increased by 50%. Find the net percentage change.
- A. No change
- B. 10% increase
- C. 5% decrease
- D. 2.5% decrease
Answer: 2.5% decrease
Explanation: Take 100. After a 35% fall it is 65; a 50% rise on that gives 65 x 1.5 = 97.5. Net change = 2.5% decrease, because the rise applies to the reduced base, not the original.
309. A number is decreased by 20% and then increased by 30%. Find the net percentage change.
- A. 4.0% increase
- B. No change
- C. 5% decrease
- D. 10% increase
Answer: 4.0% increase
Explanation: Take 100. After a 20% fall it is 80; a 30% rise on that gives 80 x 1.3 = 104. Net change = 4% increase, because the rise applies to the reduced base, not the original.
310. A population of 10000 grows at 5% per annum. Find the population after 2 years.
- A. 11075
- B. 11000
- C. 11025
- D. 10925
Answer: 11025
Explanation: Growth is compounded yearly: 10000 x (1 + 5/100)^2 = 10000 x 1.05^2 = 11025. Each year's growth is applied on the previous year's population.
311. A population of 4000 grows at 20% per annum. Find the population after 2 years.
- A. 5760
- B. 5600
- C. 5810
- D. 5660
Answer: 5760
Explanation: Growth is compounded yearly: 4000 x (1 + 20/100)^2 = 4000 x 1.2^2 = 5760. Each year's growth is applied on the previous year's population.
312. A population of 6000 grows at 10% per annum. Find the population after 2 years.
- A. 7310
- B. 7200
- C. 7160
- D. 7260
Answer: 7260
Explanation: Growth is compounded yearly: 6000 x (1 + 10/100)^2 = 6000 x 1.1^2 = 7260. Each year's growth is applied on the previous year's population.
313. An item with MRP Rs2000 is sold at a 8% discount. Find the selling price.
- A. Rs1860
- B. Rs1820
- C. Rs1800
- D. Rs1840
Answer: Rs1840
Explanation: Discount = 8% of Rs2000 = Rs160. Selling price = MRP - discount = 2000 - 160 = Rs1840, i.e. 92% of the MRP.
314. An item with MRP Rs950 is sold at a 18% discount. Find the selling price.
- A. Rs739
- B. Rs759
- C. Rs779
- D. Rs799
Answer: Rs779
Explanation: Discount = 18% of Rs950 = Rs171. Selling price = MRP - discount = 950 - 171 = Rs779, i.e. 82% of the MRP.
315. An item with MRP Rs600 is sold at a 12% discount. Find the selling price.
- A. Rs508
- B. Rs548
- C. Rs488
- D. Rs528
Answer: Rs528
Explanation: Discount = 12% of Rs600 = Rs72. Selling price = MRP - discount = 600 - 72 = Rs528, i.e. 88% of the MRP.
316. A's income is 50% more than B's. By what percent is B's income less than A's (approx)?
- A. 40%
- B. ≈33.33%
- C. 50%
- D. 45%
Answer: ≈33.33%
Explanation: Let B = 100, so A = 150. B is less than A by 50, so the percentage is 50/150 x 100 = 33.33%. The base is A's income here, which is why it is not simply 50%.
317. A's income is 20% more than B's. By what percent is B's income less than A's (approx)?
- A. 15%
- B. 10%
- C. ≈16.67%
- D. 20%
Answer: ≈16.67%
Explanation: Let B = 100, so A = 120. B is less than A by 20, so the percentage is 20/120 x 100 = 16.67%. The base is A's income here, which is why it is not simply 20%.
318. A's income is 30% more than B's. By what percent is B's income less than A's (approx)?
- A. 30%
- B. 25%
- C. 20%
- D. ≈23.08%
Answer: ≈23.08%
Explanation: Let B = 100, so A = 130. B is less than A by 30, so the percentage is 30/130 x 100 = 23.08%. The base is A's income here, which is why it is not simply 30%.
319. A price is decreased by 40% and then increased by 60%. Find the net percentage change.
- A. 9.0% decrease
- B. 40% increase
- C. 20% increase
- D. 4.0% decrease
Answer: 4.0% decrease
Explanation: Take 100. After a 40% fall it is 60; a 60% rise on that gives 60 x 1.6 = 96. Net change = 4% decrease, because the rise applies to the reduced base, not the original.
320. A price is decreased by 12% and then increased by 25%. Find the net percentage change.
- A. 15.0% increase
- B. 12% increase
- C. 10.0% increase
- D. 13% increase
Answer: 10.0% increase
Explanation: Take 100. After a 12% fall it is 88; a 25% rise on that gives 88 x 1.25 = 110. Net change = 10% increase, because the rise applies to the reduced base, not the original.
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