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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.Â
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:Â Â Â Â 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}Â
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
