# percentage aptitude Problem

# percentage aptitude Problem

1). The difference between 69% of a number and 45% of the same number is 450. What is 56% of that number?

(a) 1150

(b) 150

(c) 1350

(d) 1450

(e) None of these

2). Hannibal invests Rs. 5,676/-, which is 22% of his monthly income, in life insurance. What is his annual income?

(a) Rs. 33,606/-

(b) Rs. 3,09,600-

(c) Rs. 25.800/-

(d) Rs. 23.980/-

(e) None of these

3). The population of a town increased from 1,75,000 to 2,62,500 in a decade. The average percent increase of population per year is:

(a) 4.37%

B. 5%

C. 6%

D. 8.75%

4). There are 600 boys in a hostel. Each plays either hockey or football or both. If 75% play hockey and 45% play football, how many play both?

(a) 48

(b) 60

(c) 80

(d) 120

5). In a certain office, 72% of the workers prefer tea and 44% prefer coffee. If each of them prefers tea or coffee and 40 like both, the total number of workers in the office is

(a) 200

(b) 240

(c) 250

d) 320

6). In an examination, 65% students passed in Civics and 60% in History 40% passed in both of these subjects. If 90 students failed in History and Civics both, then what is the total number of students?

(a) 600

(b) 650

(c) 700

(d) 750

7). In a annual examination Hardin scores a total of 500 marks out of 725. What is his approximate percentage in the annual examination?

a) 88

(b) 79

(c) 54

(d) 62

(e) 70

8). Sarajevo buys good worth Rs. 6650. He gets a rebate of 6% on it. After getting the rebate, he pays sales tax @ 10%. Find the amount he will have to pay for the goods.

A. Rs. 6876.10

B. Rs. 6999.20

C. Rs. 6654

D. Rs. 7000

9). 40% of the people read newspaper X, 50% read newspaper Y and 10% read both the papers. What percentage of the people read neither newspaper?

(a) 10%

(b) 15%

(c) 20%

(d) 25%

10). Out of 450 students of a school ,325 play football ,175 play cricket and 50 neither play football nor cricket. How many play both football and cricket?

(a) 50

b) 75

(c) 100

d) 225

11). In a hotel, 60% had vegetarian lunch while 30% has non-vegetarian lunch and 15% bad both types of lunch. If 96 people were present, how many did not eat either type of lunch?

a) 20

(b) 24

(c) 26

d) 28

12). Lauri went to the stationers and bought things worth Rs. 25, out of which 30 p

aise went on sales tax on taxable purchases. If the tax rate was 6%, then what was the cost of the tax free items?

A. Rs. 15

B. Rs. 15.70

C. Rs. 19.70

D. Rs. 20

13). In an examination it is required to get 210 of the aggregate marks to pass. A student gets 168 marks and is declared failed by 8% marks. What are the maximum aggregate marks a student can get?

(a) 635

(b) 575

(c) 445

(d) Cannot be determined

(e) None of these

14). 63% of a number is 2583. What is 45% of that number? ‘

(a) 1845

(b) 1763

(c) 2255

(d) 1927

e) None of these

15). Due to an increase of 30% in the price of eggs, 3 eggs less are available for R. 7.80. The present rate of eggs per dozen is :

(a Rs. 8.64

(b) Rs. 8.88

(c Rs. 9.36

(d) Rs. 10.40

16). The price of sugar having gone down by 10%, Shared can buy 6.2 kg more for Rs 279 The difference between the original and the reduced price (per kg) is

(a) Rs. 0.50

(b) Rs. 1

(c) Rs. 1.50

(d) Rs. 4.50

17). In an examination, 34% of the students failed in Mathematics and 42% failed in English. if 20% of the students failed in both the subjects, then the percentage of students who passed in both the subjects was:

(a) 44

(b) 50

c) 54

(d) 56

18). Two tailors X and Y are paid a total of Rs. 550 per week by their employer. If X is paid 120 percent of the sum paid to Y, how much is Y paid per week?

A. Rs. 200

B. Rs. 250

C. Rs. 300

D. None of these

19). The population of a town is 11200. it increases by 25% in the first year and decreases by 15% in the second year. What is the population of the town at the end of 2 years?

(a) 14000

(b) 11900

(c) 16100

(d) 13500

(e) None of these

20). Three candidates contested an election and received 1136, 7636 and 11628 votes respectively. What percentage of the total votes did the winning candidate get?

A. 57%

B. 60%

C. 65%

D. 90%

21). A bag contains 600 coins of 25 p denomination and 1200 coins of 50 p denomination If 12% of 25 p coins and 24% of 50 p coins are removed, the percentage of money removed from the bag is nearly -

(a) 1.6%

(b) 11.8%

(c 21.6%

(d) 30%

22). The price of rice is reduced by 2% How many kilograms of rice can now be bought for the money which was sufficient to buy 49 kg of rice earlier?

(a) 48 kg

(b) 49 kg

(c) 50 kg

(d) 51 kg

23). A reduction of 21% in the price of wheat enables a person to bay 10.5 kg more for Rs 100 What is the reduced price per kg

(a) Rs. 2.10

(b) Rs. 2.25

(c) Rs. 2.30

(d) Rs.2.50

24). In an election between two candidates, one got 55% of the total valid votes, 20% of the votes were invalid. If the total number of votes was 7500, the number of valid votes that the other candidate got, was:

A. 2700

B. 2900

C. 3000

D. 3100

25). 16% of a number is 216. What is 27% of that number?

(a) 274

(b) 367.20

(c) 270

(d) 364.60

(e) None of these

26). 15% of 25%of 5/6th of a number is 330. What is the number?

(a) 10280

b) 1066

(c) 10560

(d) 9900

(e) None of these

27). If the production of a factory grows at a 8% p.a. what will be Its production for the year 2006 it its production in 2004 was 70 lake tonnes?

(a) 63.48 lake tonnes

(b) 81.68 lake tonnes

(c) 81 lake tonnes

(d) 80.68 lake tonnes

(e) None of these

28). Peter earned 40% more money than Albert. Albert earned 20% less than Michael. Peter earned more ‘than Michael by)

a) 10%

(b) 12%

(c) 20%

(d) 25%

29). From a container having pure milk, 20% is replaced by water and the process is repeated thrice At the end of though third operator, the milk is:

(a) 40% pure

(b) 50% pure

(c) 51.2% pure

(d) 68.8% pure

30). An empty fuel tank of a car was filled with A type petrol. When the tank was half- empty, it was filled with B the petrol. Again when the tank was halfpence it was’ filled with A type petrol. When the tank was half-empty again, it was filled with B type petrol. What is the percentage of A type petrol at present in the tank?

(a) 33.5%

(b) 37.5%

(c) 40%

(d) 50%

31). Two numbers A and B are such that the sum of 5% of A and 4% of B is two-third of the sum of 6% of A and 8% of B. Find the ratio of A : B

a) 2 : 3

B. 1 : 1

C. 3 : 4

D. 4 : 3

32). A person subscribing to Sky Cable for a pays Rs. 1,785. If the monthly subscription is Rs. 175, how much discount does a yearly subscriber get?

(a) 18%

(b) 11%

(c) 13%

(d) 15%

(e) None of these

33). Two candidates contested an election. If one got 520 votes which was 65% of votes, what was the total number who votes?

(a) 858

(b) 702

(c) 780

(d) 754

(e) None of these

34). ‘Two numbers are respectively 25/2% and 25% more than a third numb& The first number as a percentage of the second number is

(a) 50

b) 60

c) 75

d) 90

35). A’s salary is 40% of B’s salary which is 25% of C’s salary. What percentage ‘of C’s salary’ is A’s salary?

(a) 5%

b) 10%

c) 15 %

(d 20%

36). 5% of income of’A’ is equal to 15% of income of B and 10% of income of B is equal to 20% of income of C If’ C’s income is Re. 2000, then the total income of A, B and

(a) Rs. 6000

(b) Rs. 14,000

c) Rs. 18000

(d) Rs. 20,000

37). In a certain school, 20% of students are below 8 years of age. The number of students above 8 years of age is of the number of students of 8 years of age which is 48. What is the total number of students in the school?

A. 72

B. 80

C. 120

D. 150

E. 100

38). in an examination Aisha scores a total of 555 marks out of 850. What is her approximate percentage in the examination?

(a) 59

(b) 72

(c) 68

(d) 65

(e) 70

39). Payslip spent 8% on school fees, 26% on re and 17% on furniture. 25% of the remaining amount was spent on medical hills and the remaining Re. 6,000 was set aside for investment. How much money dos she spend on rent?

(a) Rs. 3,70

(b) Rs. 6,000

(c) Rs. 4,000

(d) Rs. 3,250

(e) None of these

40). if A’s height is 40% less than that of B’ how much percent B’s height is more than that of A?

a) 100/3

b) 40

c) 60

d) 200/3

41). p is six times as large as q. The percent that q is less than, .p’ is

a) 50/3

b) 60

c) 250/3

d) 90

42). Two numbers are less than a third number by 30%. an 4.37% respectively. How much percent is the second number less than the first?

(a) 3%

(b) 4%

(c) 7%

(d) 10%

43). If 20% of a = b, then b% of 20 is the same as:

A. 4% of a

B. 5% of a

C. 20% of a

D. None of these

44). Danish invests rs 3818 which is 20% of his monthly income in insurance policies. What is his monthly income?

(a) Rs. 19,090

(b) Rs. 19,900

(c) Rs. 19,990

(d) Rs. 19,009

(e) None of these

45). There are 1556 employees In an organization. Out of which 25% got transferred to different places. How many such employees got the transfer?

(a) 394

(b) 404

(c) 411

(d) 399

(e) None of these

46). The total population of a village is 5000. The number of males and females increases by 10% and 15% respectively and consequently the population of the village becomes 5600. What was the number of males in the village?

a) 2000

b) 2500

(c) 3000

(d) 4000

47). As income is 25% more’ than B’s income. B’s income in terms oi’A’s income is

(a) 75%

b) 80%

(c) 90%

(d) 96%

48). A salary is 50% more, than B’s. How much percent is B’s salary lees than A’s?

a) 33

b) 133/4

c) 100/3

d) 67/3

49). If A = x% of y and B = y% of x, then which of the following is true?

A. A is smaller than B.

B. A is greater than B

C. Relationship between A and B cannot be determined.

D. If x is smaller than y, then A is greater than B.

E. None of these

50). A building worth Rs. 1,33,100 is constructed on land worth Re. 72,900. After how many years will the value of both be the same if land appreciates. at 10% p.a. and building depreciates at 10% p.a.?

a) 3/2

b) 2

c) 5/2

d) 3

51). The population of a town increases 4% annually but is decreased by emigration annually to the extent of (1/2)%. What will be the. Increase in three years?

(a) 9.8

(b) 10

(c 10.5

(d) 10.8

52). The current birth rate per thousand is 32, whereas corresponding death rate is 11 per thousand The net growth rate in terms of population increase in percent is given by:

(a) 0.0021%

(b) 0.021%

(c) 2.1%

(d) 21%

53). What percentage of numbers from 1 to 70 have 1 or 9 in the unit’s digit?

A. 1

B. 14

C. 20

D. 21

53). In an examination it is required to get 336 of the aggregate marks to pass. A student gets 35% marks and is declared failed by 42 marks. What are the maximum aggregate marks a student can get?

(a) 800

(b) 825

(c) 850

(d) Cannot be determined

(e) None of these

54). 56% of a number is 463.68. What is 25% of that number?

(a) 202

(b) 204

(c) 206

(d) 208

(e) None of these

55). The price of wheat falls by 16% By what percentage a person can increase the consumption of wheat so that his overall budget does not change?

(a) 16%

(b) 18%

(c) 18.5%

(d) 19%

56). The price of oil is increased by 5% If the-expenditure is not allowed to increase, the ratio between the reduction in consumption and the -original consumption is

(a) 1: 3

(b) 1: 4

(c) 1 :5

(d) 1: 6

57). if price of sugar rises from lb. 6 per.kg to Rs 7.50 per kg, a person, to have no increase in his expenditure on sugar, will. have to reduce his consumption of sugar by

(a) 15%

(b) 20%

(c) 25%

d) 30%

58). A fruit seller had some apples. He sells 40% apples and still has 420 apples. Originally, he had:

A. 588 apples

B. 600 apples

C. 672 apples

D. 700 apples

59). The difference between 42% of a number and 35% of the same number is 110.6. What is 60% of that number?

(a) 936

(b) 948

(c) 790

(d) 1106

(e) None of these

60). The difference between 56% of a number and 39% of the same number is 247. What is 62% of that number?

(a) 1300

(b) 806

(c) 754

(d) 1170

(e) None of these

61). The income of a broker remains unchanged though the rate of commissions is increased from 4% to 5%. The percentage of slump in business is

a) 1%

(b 8%

c) 20%

(d) 80%

62). In a fraction, if numerator is increased by 40% a denominator is increased by 80%, then what fraction of the original is the new fraction

a) 1/2

(b) 7/9

(c) 7/18

(d) Data inadequate

63). In the price of petrol is increased by 30%, by how Much percent a car owner must reduce his consumption in order to maintain the same. Budget?

(a) 21%

b) 64/3%

(c) 23(1/13)%

(d) 33%

64). Two students appeared at an examination. One of them secured 9 marks more than the other and his marks was 56% of the sum of their marks. The marks obtained by them are:

A. 39, 30

B. 41, 32

C. 42, 33

D. 43, 34

65). The population of a town is 189000, It decreases by 8% in the 1st year and increases by 5% in the 2nd year. What is the population in the town at the end of 2 years?

(a) 193914

(b) 185472

(c) 182574

(d) 191394

(e) None of these

66). The price of a TV set s decreased by 25% as a result of which the sale increased by 20%. What will be the effect On the total revenue of the shop?

a) No effect

(b) 5% decrease

c) 5% increase

d) 0% increase

(e) None of these

67). The price of tea being increased by 20%, a man reduces his consume)Øi 2(1% By how much percent will be expenses for tea be decreased?

(a) 2%

(b) 4%

(c) 6%

d) 8%

68). Entry fee in an exhibition was Re 1 Later, this was reduced by 25% ‘which increased the sale by 20%. The percentage increase in the number of visitor is

(a) 54

(b) 57

(c) 60

d) 66

69). What is 240 percent of 700?

a) 1650

(b) 1780

(c) 1560

(d) 1710

(e) None of these

70). Surety Singh salary is 80% of Ramjet salary and 120% of Latisha salary. What is Surety Singh’s salary if Ramjet salary is:Rs. 15000?

(a) Rs. 10,000

(b) Rs. 18,000

(c) Rs. 12,500

(d) Rs. 10,1500

(e) None of these

71). Mr. X, a businessman had the income in the year 2000, such that -he earned- a profit of 20% on his investment in the business. In the year 2001, his investment was less by Rs. 5000 but still had the same income (Income = Investment + profit) as that in 2000. Thus, the percent profit earned in 2001 increased by 6%. What was his investment in 2000

(a) Rs. 1,02,000

(b) Rs. 1,05,000

(c) rs. 50,500

d) Data inadequacy

(e) None of these

72). What percent decrease in salaries would exactly cancel out the 20 percent increase?

(a) 50/3

(b) 18

c) 20

(d) 100/3

73). A number is increased by 20% and then again -by 20% By what percent should the increased number be reduced so as to get back the original number

(a) 612/31 %

(b) 275/9%

(C) 40%

(d) 44%

74). The difference between 58% of a number and 39% of the same number is 247. What is 62% of that number?

(a) 1,300

(b) 606

(c) 754

(d) 1,170

(e) None of these

75). What is 30% of 25% of 3/5th of 9800?

(a) 433

(b) 453

(c) 4414.

(d) 391

(e) None of these

76). The ratio 5 : 4 expressed as a percent equals

(a) 12.5%

b) 40%

c) 80%

d) 125 %

77). 3.5 can be expressed in terms of percentage as

(a) 0.35%

(b) 3.5%

(c 35%

d) 350%

78). Half of 1 percent written as a decimal is :

(a) 0.005

(b) 0.05

c) 0.02

d) 0.2

79). What is 15 percent of Rs. 34?

(a) Rs. 3.40

(b) Rs. 3.75

(c) Rs. 4.50

d) Rs. 5.1

80). The difference between. 89% of a number and 73% of the same number is 448. What is 49%of that number?

(a) 1426

(b) 1372

(c) 1218

(d) 1124

(e) None of these

81). Nagpur invests Rs. 89856, which is 26% of her annual Income in mutual funds. What is her monthly income?

(a) Rs. 33606.25

(b) Rs. 28990

(c) Rs. 28800

(d) Rs. 23980.50

(e) None of these

82). 15% of (?)% of 582= 17.46

(a) 2

b) 10

c) 20

d) none

83). root of 784 +?= 78% of 500

(a) 342

(b) 352

(c) 362

d) 372

84). If 120 is 20% of a number, then 120% of that number will be

(a) 20

(b) 120

(c) 360

d) 720

85). If 35% of a number is 175, then what percent of 175 is that number?

(a) 35%

(b) 65%

(c 280%

(d) None of these

86). Two-fifth of one-third of three-seventh of a number is 15. What is 40 percent of that number?

(a) 72

(b) 84

(c) 136

(d) 140

(e) None of these

87). In an examination it is required to get 270 of the aggregate marks to pass. A student gets 216 marks and is declared failed by 8% marks. What are the maximum aggregate marks a student can get?

(a) 825

(b) 675

(c) 750

(d) Cannot e determined

(e) None of these

88). 56% of a number is 1064. What is 38% of that number

(a) 666

(b) 722

(c) 856

(d) 912

(e) None of these

89). The sum of the number of boys and g’irls in a school is 150. If the number of boys—is x, then the number of-girls becomes x% of the total number of students. The number of boys is

(a) 40

(b) 50

c) 60

(d 90

90). In an examination of n questions, a student replied 15 out of the first 20 questions correctly. Of the remaining questions, he answered one-third correctly. All the questions have the same credit. If the student gets 50% marks, the value of n is:

(a) 20

(b) 40

(c) 50

d) 100

91). The salaries of A and B together amount to Rs. 2000. A Spends 95% of his salary and B, 85% of his. If now, their savings are the same, what is A’s salary -

(a) Rs. 750

(b) Rs. 1250

(c) Rs. 1500

(d) Rs. 1600

92), A’s marks in Biology are 20 less than 25% of the total marks obtained. by him in Biology, Maths and Drawing. If his marks in Drawing be 50, what are his marks in Maths?

(a) 40

(b) 45

(c) 50

(d) Cannot be determined

93). A salesman is allowed 11/2% discount on the total sales made by him plus a,bonus of 1/2% on the sales over Rs 10,000 If his total earnings were Rs 1990, ‘then his total sales (in Rs.) were

(a) 30,000

(b) 32,000

(c) 34,000

(d) 35000

94). In an annual examination Garish scores a total of 421 marks out of 675. What is his approximate percentage in the annual examination ?

a) 56

(b) 72

(c) 92

(d) 88

(e) 62

95). There are 1225 employees in an organization, Out of which 40% of transferred to different places. How many such employees’ got transferred?

(a) 540

(b) 490

(c) 630

(d) 710

(e) None of these

96). The price of tea being increased by 20%, a man reduces his consume 2(1% By how much percent will be pretenses for tea be decreased?

(a) 2%

(b) 4%

(c) 6%

d) 8%

97). Entry fee in an exhibition was Re 1 Later, this was reduced by 25% ‘which increased the sale by 20%. The percentage increase in the number of visitor is

(a) 54

(b) 57

(c) 60

d) 66

98). The income of a broker remains unchanged though the rate of com Mission is increased from 4% to 5%. The percentage of slump in business is

a) 1%

(b 8%

c) 20%

(d) 80%

99). In a fraction, if numerator is increased by 40% a denominator is increased by 80%, then what fraction of the original is the new fraction

a) 1/2

(b) 7/9

(c) 7/18

100). In the price of petrol is increased by 30%, by how Much percent a car owner must reduce his consumption in order to maintain the same. Budget?

(a) 21%

b) 64/3%

(c) 23(1/13)%

(d) 33%

101). The price of wheat falls by 16% By what percentage a person can increase the consumption of wheat so that his overall budget does not change?

(a) 16%

(b) 18%

(c) 18:5%

(d) 19%

102). The price of oil is increased by 5% If the-expenditure is not allowed to increase, the ratio between the reduction in consumption and the -original consumption is

(a) 1: 3

(b) 1: 4

(c) 1 :5

(d) 1: 6

103). if price of sugar rises from lb. 6 per.kg to Rs 7.50 per kg, a person, to have no increase in his expenditure on sugar, will. have to reduce his consumption of sugar by

(a) 15%

(b) 20%

(c) 25%

d) 30%

104). The present population of a country estimated to’ be 10 errors is expected to increase to 13.31 crores during the next three years. The ”uniform rate of growth is:

(a) 8%

(b) 10%

c) 12.7%

(d) 16%

105). After 12.5% discount on market price a table costs Rs. 4375 what was marked price?

(a) 6000

(b) 5400

(c) 5200

(d) 5000

(e) None

106). A student gets 178 marks and fails by 22 marks. If 40% are the passing marks what was the total marks?

(a) 20

(b) 500

(c) 800

(d) 1000

(e) None

107). There are 900 girls and 1100 boys. Out of them 40% girls and 50% boys pass one examination. Find total number of students who have failed?

(a) 45

(b) 45.5

(c) 54.5

(d) 59.2

108). There were two candidates in an election. 5% of total voters did not cost their votes. Winner gets 48% of total votes and wins by 1500 votes. How many votes did he get?

(a) 16000

(b) 20000

(c) 24000

(d) 72000

(e) None

109). Population of a town is 176400. Rate of increase in the population is 5% per annul. What will be the population after two year?

(a) 194581

(b) 194481

(c) 184481

(d) 174481

(e) None

110). Rate of taxation on certain good is reduced by 25% as a result it’s consumption is increased by 25%. What will be the effect on total receipts?

(a) 6.25%(+)

(b) 6%%(-)

(c) 8%(+)

(d) 8%(-)

(e) None

111). Price of rice decreases by 10%. By what percentage its consumption be increased so as to keep expenditure same ?

a) 11%

b) 10%

(c) 6¼%

d) 11(1/9)%

e) none

112). As income is 25% more than that of B. By what % B’s income is less than A?

(a) 10%

(b) 20%

(c) 30%

(d) 40%

(e) None

113). As income is 50/3 % more than that of B. By what % B s income is less than A?

a) 331/3%

(b) 12%

(c) 14(2/7)%

(d) 17%

(e) None

114). Due to 20% increase in sugar price. A family decreases consumption by 25%. What will be the effect on expenditure?

(a) 10%

(b) 5%

(c) 14%

(d) 15%

(e) None

115). Side of a square is increased by 30%. By what % wilt be the Area increased?

(a) 30%

(b) 45%

(c) 60%

(d) 69%

(e) None

116). Radius of a circle is decreased by 50%. What will be the effect on its Area?

(a) 25%

(b) 50%

(c) 75%

(d) None

117). 80% people in a group speak English while 40% speak Hindi If 80 people speak both

the languages find the people who speak only English.

(a) 300

(b) 360

(c) 380

(d) 240

(e) None

118). 65% players play cricket while 55% play Tennis. 40 Players play both games. How many players play Tennis?

(a) 100

(b) 210

(c) 215

(d) 110

(e) None

119). 58% students fail in English. 37% fail in Math and 19% fail in both subjects. How many students pass in both the subjects percent wise?

(a) 76%

(b) 24%

(c) 34%

(d) 36%

(e) None

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hey where are the explanations and answers for these questions