# Percentage Aptitude Questions and Answers:

#### Overview:

 Questions and Answers Type: MCQ (Multiple Choice Questions). Main Topic: Quantitative Aptitude. Quantitative Aptitude Sub-topic: Percentage Aptitude Questions and Answers. Number of Questions: 10 Questions with Solutions.

1. If there is a couple and the income of husband is $$25 \ \%$$ more than that of wife's income, then find how much percent of wife's income is less than that of husband's income?

1. $$25 \ \%$$
2. $$20 \ \%$$
3. $$15 \ \%$$
4. $$22 \ \%$$

Answer: (b) $$20 \ \%$$

Solution: Given, $$n = 25 \ \%$$, then wife's income is less than that of husband's income in percent, $$= \left(\frac{n}{100 + n} \times 100 \right) \ \%$$ $$= \left(\frac{25}{100 + 25} \times 100 \right) \ \%$$ $$= \left(\frac{25}{125} \times 100 \right) \ \%$$ $$= 20 \ \%$$

1. If the price of rice increases by $$10 \ \%$$, then find how much percent of rice consumption be reduced so as not to increase the expenditure?

1. $$9.09 \ \%$$
2. $$8.25 \ \%$$
3. $$9.25 \ \%$$
4. $$8.09 \ \%$$

Answer: (a) $$9.09 \ \%$$

Solution: Given, $$n = 10 \ \%$$, then the reduction in rice consumption, $$= \left(\frac{n}{100 + n} \times 100 \right) \ \%$$ $$= \left(\frac{10}{100 + 10} \times 100 \right) \ \%$$ $$= \left(\frac{10}{110} \times 100 \right) \ \%$$ $$= 9.09 \ \%$$

1. If the price of wheat decreases by $$20 \ \%$$, then find how much percent of wheat consumption be increased so as not to decrease the expenditure?

1. $$20 \ \%$$
2. $$28 \ \%$$
3. $$25 \ \%$$
4. $$30 \ \%$$

Answer: (c) $$25 \ \%$$

Solution: Given, $$n = 20 \ \%$$, then the increase in wheat consumption, $$= \left(\frac{n}{100 - n} \times 100 \right) \ \%$$ $$= \left(\frac{20}{100 - 20} \times 100 \right) \ \%$$ $$= \left(\frac{20}{80} \times 100 \right) \ \%$$ $$= 25 \ \%$$

1. If the income of Ram is $$10 \ \%$$ less than that of Shyam's income, then find how much percent of Shyam's income is more than that of Ram's income?

1. $$10.50 \ \%$$
2. $$11.50 \ \%$$
3. $$11.11 \ \%$$
4. $$10.11 \ \%$$

Answer: (c) $$11.11 \ \%$$

Solution: Given, $$n = 10 \ \%$$, then the Shyam's income is more than that of Ram's income in percent, $$= \left(\frac{n}{100 - n} \times 100 \right) \ \%$$ $$= \left(\frac{10}{100 - 10} \times 100 \right) \ \%$$ $$= \left(\frac{10}{90} \times 100 \right) \ \%$$ $$= 11.11 \ \%$$

1. If the price of sugar increases $$15 \ \%$$, then find how much percent of sugar comsumption be reduced so as not to increase the expenditure?

1. $$15.043 \ \%$$
2. $$17.042 \ \%$$
3. $$18.042 \ \%$$
4. $$13.043 \ \%$$

Answer: (d) $$13.043 \ \%$$

Solution: Given, $$n = 15 \ \%$$, then the reduction in sugar consumption, $$= \left(\frac{n}{100 + n} \times 100 \right) \ \%$$ $$= \left(\frac{15}{100 + 15} \times 100 \right) \ \%$$ $$= \left(\frac{15}{115} \times 100 \right) \ \%$$ $$= 13.043 \ \%$$

1. If the price of milk decreases $$5 \ \%$$, then find how much percent of milk consumption be increased so as not to decrease the expenditure?

1. $$5.26 \ \%$$
2. $$6.25 \ \%$$
3. $$5.05 \ \%$$
4. $$6.05 \ \%$$

Answer: (a) $$5.26 \ \%$$

Solution: Given, $$n = 5 \ \%$$, then the increase in milk consumption, $$= \left(\frac{n}{100 - n} \times 100 \right) \ \%$$ $$= \left(\frac{5}{100 - 5} \times 100 \right) \ \%$$ $$= \left(\frac{5}{95} \times 100 \right) \ \%$$ $$= 5.26 \ \%$$

1. If the current price of a x-ray machine is $$500,000 \ Rs.$$, increases $$2 \ \%$$ and $$10 \ \%$$ successively in two years, then find the price of x-ray machine after two years?

1. $$565,000 \ Rs.$$
2. $$560,000 \ Rs.$$
3. $$561,000 \ Rs.$$
4. $$568,000 \ Rs.$$

Answer: (c) $$561,000 \ Rs.$$

Solution: Given, $$k = 500,000 \ Rs.$$, $$x = 2$$, $$y = 10$$, then the price of the x-ray machine after two years, $$k \left(1 + \frac{x}{100}\right) \left(1 + \frac{y}{100}\right)$$ $$= 500,000 \ \left(1 + \frac{2}{100}\right) \left(1 + \frac{10}{100}\right)$$ $$= 500,000 \times \frac{51}{50} \times \frac{11}{10} = 561,000 \ Rs.$$

1. If the weight of mohan is $$25 \ \%$$ less than that of Rohan's weight, then find how much percent of Rohan's weight is more than that of Mohan's weight in percent?

1. $$35.50 \ \%$$
2. $$33.33 \ \%$$
3. $$31.33 \ \%$$
4. $$32.25 \ \%$$

Answer: (b) $$33.33 \ \%$$

Solution: Given, $$n = 25 \ \%$$, then Rohan's weight is more than that of Mohan's weight in percent, $$= \left(\frac{n}{100 - n} \times 100 \right) \ \%$$ $$= \left(\frac{25}{100 - 25} \times 100 \right) \ \%$$ $$= \left(\frac{25}{75} \times 100 \right) \ \%$$ $$= 33.33 \ \%$$

1. If the price of vegetables increases by $$2 \ \%$$, then find how much percent of vegetable consumption be reduced so as not to increase the expenditure?

1. $$1.50 \ \%$$
2. $$2.25 \ \%$$
3. $$2.82 \ \%$$
4. $$1.96 \ \%$$

Answer: (d) $$1.96 \ \%$$

Solution: Given, $$n = 2 \ \%$$, then the reduction in vegetable consumption, $$= \left(\frac{n}{100 + n} \times 100 \right) \ \%$$ $$= \left(\frac{2}{100 + 2} \times 100 \right) \ \%$$ $$= \left(\frac{2}{102} \times 100 \right) \ \%$$ $$= 1.96 \ \%$$

1. If the price of water decreases by $$7 \ \%$$, then find how much percent of water consumption be increased so as not to decrease the expenditure?

1. $$8.52 \ \%$$
2. $$7.52 \ \%$$
3. $$7.25 \ \%$$
4. $$8.25 \ \%$$

Answer: (b) $$7.52 \ \%$$

Solution: Given, $$n = 7 \ \%$$, then the increase in water consumption, $$= \left(\frac{n}{100 - n} \times 100 \right) \ \%$$ $$= \left(\frac{7}{100 - 7} \times 100 \right) \ \%$$ $$= \left(\frac{7}{93} \times 100 \right) \ \%$$ $$= 7.52 \ \%$$