 # Percentages Aptitude Questions

The percentage is a topic in the Quantitative section of the Aptitude exam. Questions in this section are framed in a confusing way. So, make sure that you practice different level of questions in order to have flexibility while solving problems related to this concept.

Important topics covered in this section are the comparison of percentages, percentage to a fraction, percentage change, population, etc. To make your preparation easy we have compiled the most important 20 questions from this topic. Make sure you dedicate considerable time to solve these questions with integrity.

We assume that you have completed Problems on Ages practice before coming to this page if not make sure you solve questions from Problems on Ages. Second, after you complete this section solve questions from Profit and Loss.

If you are already thorough with all the concepts of quantitative aptitude then move on to reasoning ability and verbal ability.

Q1

The ratio 5:4 expressed as a percentage equals:

Level 1 Percentage Percentage to Fraction
A

12.5%

B

40&

C

80%

D

125%

Q2

88% of 370 + 24% of 210 - ? = 118

Level 1 Percentage Comparison of Percentages
A

256

B

258

C

268

D

358

Q3

60% of 264 is the same as:

Level 1 Percentage Comparison of Percentages
A

10% of 44

B

15% of 1056

C

30% of 132

D

none of these

Q4

It costs Re. 1 to photocopy a sheet of paper. However, 2% discount is allowed on all photocopies done after first 1000 sheets. How much will it cost to copy 5000 sheets of paper?

Level 1 Percentage Comparison of Percentages
A

Rs. 3920

B

Rs. 3980

C

Rs. 4900

D

Rs. 4920

Q5

0.15% of $33\frac{1}{3}$% of Rs. 10,000 is

Level 1 Percentage Percentage to Fraction
A

Re. 0.05

B

Rs. 5

C

Rs. 105

D

Rs. 150

Q6

0.15% of $33\frac{1}{3}$% of Rs. 10,000 is

Level 1 Percentage Percentage to Fraction
A

Re. 0.05

B

Rs. 5

C

Rs. 105

D

Rs. 150

Q7

65% of ? = 20% of 422.50

Level 1 Percentage Percentage to Fraction
A

84.5

B

130

C

139.425

D

200

Q8

What percentage of numbers from 1 to 70 have squares that end in the digit 1?

Level 1 Percentage Percentage Change
A

1

B

14

C

20

D

21

Q9

Ajay ordered 4 pairs of black socks and some additional pairs of blue socks. The price of the black socks per pair was twice that of the blue ones. When the order was filled, it was found that the number of pairs of the two colours had been interchanged. This increased the bill by 50%. Find the ratio of the number of pairs of black socks to the number of pairs of blue socks in the original order?

Level 3 Percentage Comparison of Percentages
A

1:2

B

1:4

C

2:6

D

2:9

Q10

After 25 kg of water had been evaporated from a solution of salt and water, which had 20% salt, the remaining solution had 30% salt. Find the weight of the original solution?

Level 3 Percentage Percentage Change
A

55

B

65

C

75

D

85

Q11

Of the 50 researchers in a workgroup, 40% will be assigned to Team A and the remaining 60% to Team B. However, 70% of the researchers prefer Team A and 30% prefer Team B. What is the least possible number of researchers who will not be assigned to the team they prefer?

Level 3 Percentage Population
A

15

B

20

C

30

D

35

Q12

Out of a total of 85 children playing Badminton or Table Tennis or both, total number of girls in the group is 70% of the total number of boys in the group, the number of boys playing only Badminton is 50% of the number of boys and total number of boys playing Badminton is 60% of the total number of boys. Number of children only playing table Tennis is 40% of the total number of children and total of 12 children play both Badminton and Table Tennis. What is the number of girls playing only Badminton?

Level 3 Percentage Population
A

16

B

14

C

17

D

None of these

Q13

A, B and C secured 45%, 50% and 60% marks respectively in Biology. D's marks in Biology are 10 more than A's marks and 20 less than C's marks. Find out the total marks of the four students.

I. Maximum marks for Biology are 200.

II. Total of D's and A's marks is 190.

III. C has obtained 120 marks.

Level 2 Percentage Limits of Percentages
A

I and II

B

III only

C

Either I and II together or III alone

D

Any one of the three

E

All the three together

Q14

If the price of a commodity is decreased by 20% and its consumption is increased by 20%, what will be the increase or decrease in the expenditure on the commodity?

Level 2 Percentage
A

4% increase

B

4% decrease

C

8% increase

D

8% decrease

Q15

Income tax is raised from 4 paise to 5 paise in a rupee but the revenue is increased by 10% only. Find the decrease percent in the amount taxed.

Level 2 Percentage Percentage Change
A

12

B

14

C

16

D

None of these

Q16

In a certain month a baseball team that played 60 games had won 30% of its games played. After a phenomenal winning streak this team raised its average to 50%. How many games must the team have won in a row to attain this average?

Level 2 Percentage Comparison of Percentages
A

12

B

20

C

24

D

30

Q17

To meet a government requirement, a bottler must test 5 percent of its spring water and 10 percent of its sparkling water for purity. If a customer ordered 120 cases of spring water and 80 cases of sparkling water, then what percent of all the cases must the bottler test before he can send it out?

Level 2 Percentage Percentage Change
A

6.5%

B

7.0%

C

7.5%

D

8.0%

Q18

55% of all teachers in a school are females. If 8% of the female teachers in that school teach 5 classes a day, what is the number of female teachers who do not teach 5 classes a day?

I. There are 135 male teachers in the school.

II. There are 27 male teachers in the school who do not teach 5 classes a day.

Level 2 Percentage Population
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 or in Statement II alone are sufficient to answer the question

D

If the data even in both Statements I and II together are not sufficient to answer the question

E

If the data in both statements I and II together are necessary to answer the question

Q19

After 25 kg of water had been evaporated from a solution of salt and water, which had 20% salt, the remaining solution had 30% salt. Find the weight of the original solution?

Level 3 Percentage Percentage Change
A

55

B

65

C

75

D

85

Q20

The monthly income of a person was Rs.13500 and his monthly expenditure was Rs.9000. Next year, his income increased by 14% and is expenditure by 7%. Find the percentage increase in his savings.

Level 2 Percentage Expenditure
A

7%

B

21%

C

28%

D

35%