Percentages Questions and Answers

Questions and Answers on Percentages

You can practice Percentages Questions and Answers in this page. By percent, we mean that many hundredths.

Thus x percent means x hundredths, denoted by x%. Also, a percentage is a fraction whose denominator is 100. 

Percentages Questions and Answers

Fraction to Percentage Convertion

\frac{1}{3} × 100 = 33.33%\frac{1}{10} × 100 = 10%
\frac{1}{4} × 100 = 25%\frac{1}{11} × 100 = 9.09%
\frac{1}{5} × 100 = 20%\frac{1}{12} × 100 = 8.33%
\frac{1}{6} × 100 = 16.66%\frac{1}{13} × 100 = 7.69%
\frac{1}{7} × 100 = 14.28%\frac{1}{14} × 100 = 7.14%
\frac{1}{8} × 100 = 12.5%\frac{1}{15} × 100 = 6.66%
\frac{1}{9} × 100 = 11.11%\frac{1}{16} × 100 = 6.25%

Question 1. Luaa spends her monthly salary in the following manner: 20% on house rent, 20% on food, 5 % on transportation, 10% on the education, and 20% on other household expenses. She saves the remaining amount of ₨. 5000 at the end of the month. Find out her monthly salary?

Options:

A. Rs. 35000

B. Rs. 25000

C. Rs. 20000

D. Rs. 30000

Solution:     Let the

Monthly Salary = 100%

Monthly Expenditure =

20% + 20% + 5% + 10% + 20% = 75%

Monthly Savings = 100% – 75% = 25%

Now, 25% of salary saved = 5000

Let’s take 100% salary as x

25% of x = 5000

x = 5000  × \frac{100}{25}

x = \frac{500000}{25} 

x = 20000

Therefore, her monthly salary = Rs. 20000

Correct option: C

Question 2.Aman spends 60% of his income. Suppose his income is increased by 21% and his expenditure increases by 5%, then what is the increase in his savings (in percentage)?

Options:

A. 60%

B. 18%

C. 40%

D. 45%

Solution:     Let Aman’s income = 100

Expenditure = 60 and

Savings = 40 (We get 40 by subtracting, 100 – 60)

New Income is increased by 21% = 100 + 21 = 121

Expenditure Increased by 5% = 5% more than 60 = 105% of 60 = 63

New Savings = 121 – 63 = 58

Therefore, increase in savings = 58 – 40 = 18

Increase in % = \frac{18}{40} × 100 = 45%

Correct option: D

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Practice Questions based on Percentages

Formula of Compound Interest Problems

Question 1

Time: 00:00:00
A man made a contribution of 7% of his income to a needy person and saved 25% of the balance. If he now has, Rs. 2100 left, then find his actual income?

9626.26

9626.26

9727.27

9727.27

9333.33

9333.33

10000

10000

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Question 2

Time: 00:00:00
If Jenny’s income is 30% more than that of Nikita, how much percent of Nikita’s income is less than that of Jenny?

23.08%

23.08%

25.5%

25.5%

27.60%

27.60%

29%

29%

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Question 3

Time: 00:00:00
In an examination, 40% are passing percentage. If a person gets 41 marks and fails by 3 marks, what are the maximum marks?

110

110

100

100

120

120

150

150

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Question 4

Time: 00:00:00
If the price of an article is increased by 18%, determine by how much percent must a user reduce the use, so that expenditure on it remain unchanged?

13.24%

13.24%

16%

16%

25%

25%

18%

18%

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Question 5

Time: 00:00:00
Reema saves 51% of his total income of Rs. 15000 per month. Calculate his total spending.

7350

7350

7550

7550

6500

6500

8560

8560

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Question 6

Time: 00:00:00
If a girl’s height is 15% less than a boy, how much percent of Boy’s height is more than a girl?

22%

22%

12.5%

12.5%

17.64%

17.64%

22.8%

22.8%

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Question 7

Time: 00:00:00
If 60% of the number is added by 100, then the number becomes the initial number only. Find the number.

350

350

280

280

200

200

250

250

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Question 8

Time: 00:00:00
Smith gets a commission of 2% of total sales. He also gets a bonus of 1% if the sale exceeds Rs. 85000. If he received a total commission of Rs. 2500, then calculate how much bonus he received?

266.66

266.66

205.55

205.55

310

310

212.12

212.12

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Question 9

Time: 00:00:00
What percent of 12Kg is 500grams?

5.2%

5.2%

4.1%

4.1%

1.2%

1.2%

4.3%

4.3%

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Question 10

Time: 00:00:00
Express the ratio 8: 5 in percentage.

112%

112%

160%

160%

114%

114%

180%

180%

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Question 11

Time: 00:00:00
750 gifts are divided alike among children in a way that each child received the number of chocolates equal to 30% of the total children. Calculate the number of gifts received by each child.

45

45

50

50

42

42

49

49

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Question 12

Time: 00:00:00
Krishna spends 15% of his total monthly income on house rent, 30% of the remaining on food, and save 60% of the money remaining. If Rs. 30000 is his monthly salary, then calculate his saving for every month.

4200

4200

3570

3570

3720

3720

3900

3900

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Question 13

Time: 00:00:00
Ashita has to obtain 40% to pass the examination. She got 85 marks and failed by 15 marks. Calculate the maximum marks of the examination.

240

240

250

250

200

200