Quantitative Aptitude

Percentage

482 Questions
All Successive Percentage Changes 177 Population Growth and Depreciation 103 Fractional Base Multiplication 58 Reverse More-Than and Less-Than Comparisons 38 Income, Expenditure, and Savings 33 Price and Consumption 30 Election Votes and Margins 10 Fake Weight and Faulty Measures 10 Venn Diagram Percentages 9 Passing Marks Shifts 5 Fresh vs. Dry Mixture 2

Percentage Questions

Multiple choice

Mehak bought a candle and decorated it to sell it further. She bought the candle for Rs. 176.59. But after decoration and packaging, she marked the price up by 28%. Further, the candle was sold at discount of 12% on the marked up price. Find the approximate profit or loss percent she earned.

  1. 10%

  2. 11%

  3. 13%

  4. 15%

  5. 17%
Reveal answer Fill a bubble to check yourself
C Correct answer
Explanation

Cost = 176.59. Marked price = 176.59 * 1.28 = 226.0352. Selling price = 226.0352 * 0.88 = 198.91. Profit = 198.91 - 176.59 = 22.32. Profit % = (22.32 / 176.59) * 100 = 12.64%, which is approximately 13%.

Multiple choice

Considering the rising inflation, Government has decided to reduce goods and service tax levied on sugar, so that its cost is reduced by 11.63%. By what percentage should the consumption of sugar be increased, so that revenue of Government remains unchanged?

  1. 10%

  2. 12%

  3. 13.16%

  4. 11.25%

  5. 15.64%
Reveal answer Fill a bubble to check yourself
C Correct answer
Explanation

If cost is reduced by 11.63%, the new price is 100 - 11.63 = 88.37. To keep revenue constant (Price * Consumption = Constant), 100 * 1 = 88.37 * (1 + x). 1 + x = 100 / 88.37 = 1.1316. So x = 13.16%.

Multiple choice

The price of an article is increased by 10%; but to sell the article at the older price, the shopkeeper reduced the quantity. By what approximate percentage did the shopkeeper reduce the quantity of the article?

  1. 10%

  2. 9%

  3. 11%

  4. 8%

  5. Insufficient data
Reveal answer Fill a bubble to check yourself
B Correct answer
Explanation

If price increases by 10%, the new price is 1.1P. To keep the total cost P, the quantity must be reduced by x such that (1 + 0.10)(1 - x) = 1. Solving gives 1 - x = 1/1.1 = 0.909, so x is approximately 9%.

Multiple choice

The population of city X increased from 650,000 in 2000 to 700,000 in 2010, and it is projected that the population will increase by the same number from 2010 to 2020. Approximately what is the projected percent increase in population from 2010 to 2020 ?

  1. 7.1%

  2. 7.7%

  3. 8.3%

  4. 14.3%

  5. 15.3%
Reveal answer Fill a bubble to check yourself
A Correct answer
Explanation

Increase from 2000 to 2010 = 50,000. Projected increase from 2010 to 2020 = 50,000. Percent increase = (Increase / Population in 2010) * 100 = (50,000 / 700,000) * 100 = 5/70 * 100 = 1/14 * 100 = 7.14%.

Multiple choice

A spends 50% salary on rent, 20% of the remaining salary on food and saves the remaining salary. Now, A's salary increases by 100% while his expenses on food and rent increase by 20% and 35%, respectively. Find the percentage of salary that A saves.

  1. 19.8%

  2. 20.5%

  3. 21.4%

  4. 60.25%
Reveal answer Fill a bubble to check yourself
D Correct answer
Explanation

Let initial salary be 100. Rent = 50, Remaining = 50. Food = 20% of 50 = 10. Savings = 40. New salary = 200. New Rent = 50 * 1.35 = 67.5. New Food = 10 * 1.2 = 12. Total expenses = 79.5. New Savings = 200 - 79.5 = 120.5. Percentage saved = (120.5 / 200) * 100 = 60.25%.

Multiple choice

A small town has a total population of 25000. Out of which, 13000 watch Hindi movies, 10500 watch English movies and 2500 watch both types of movies. The percentage of population which watches neither of these movies is

  1. 10%

  2. 16%

  3. 27%

  4. 30%

  5. None of these
Reveal answer Fill a bubble to check yourself
B Correct answer
Explanation

Using the Principle of Inclusion-Exclusion, the number of people watching at least one movie is 13000 + 10500 - 2500 = 21000. The number of people watching neither is 25000 - 21000 = 4000. The percentage is (4000/25000) * 100 = 16%.

Multiple choice

The marked price of a power bank is Rs. 2400. Nelson, the shopkeeper, allows a discount of 10% and gains 8%. If he does not give any discount, what will be his profit/loss percent?

  1. 18%

  2. 20%

  3. 22%

  4. 25%

  5. 27.5%
Reveal answer Fill a bubble to check yourself
B Correct answer
Explanation

Marked Price = 2400. Discount 10% means Selling Price = 2160. Gain 8% means Cost Price = 2160 / 1.08 = 2000. If no discount, Selling Price = 2400. Profit = 2400 - 2000 = 400. Profit % = (400 / 2000) * 100 = 20%.