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

A vintage museum owned by Mr. Daniels has 800 antique items for display, 25% of which are more than a century old. If Mr. Daniels wants to increase 10% of the items in his museum, how many of the additional antique items must be more than a century old in order to raise the percentage of antique items which are century old to 30%?

  1. 56

  2. 64

  3. 72

  4. 80

  5. 88
Reveal answer Fill a bubble to check yourself
B Correct answer
Explanation

Initial: 800 items, 25% = 200 old. New total = 880. Target: 30% of 880 = 264 old. Need 264 - 200 = 64 additional old items.

Multiple choice

In 1991 the population of a town was a perfect square. Ten years later, after an increase of 150 people, the population was 9 more than a perfect square. Now, in 2011, with an increase another 150 people, the population is once again a perfect square. Which of the following is closest to the percent growth of the town’s population during this twenty-year period?

  1. 42

  2. 47

  3. 57

  4. 62
Reveal answer Fill a bubble to check yourself
D Correct answer
Explanation

Let population be x^2. Then (x^2 + 150) = y^2 + 9, so x^2 + 141 = y^2. Also (y^2 + 150) = z^2. Solving these integer equations: x=20 (400), y=23 (529), z=26 (676). Growth = (676-400)/400 = 276/400 = 69%. The closest option is 62%.

Multiple choice

In the month of January, the number of visitors in a zoo were 3,400. In the month of February, the number of visitors decreased by 15% and in the next month, the number of visitors increased by 20%. What is the percentage change from January to March?

  1. 5% decrease

  2. 2% decrease

  3. 2% increase

  4. 5% increase

  5. 10% increase
Reveal answer Fill a bubble to check yourself
C Correct answer
Explanation

Let initial visitors be 100. Feb: 100 * 0.85 = 85. March: 85 * 1.20 = 102. The change from 100 to 102 is a 2% increase.

Multiple choice

An identical pair of shoes was sold at same rate by shopkeepers of two different shops. The price at the first shop was increased by 20% in the month of January and then decreased by 15% in the month of April. At the second shop, the price was decreased by 10% in the month of January and increased by 30% in the month of April. In April, by what percent is the price at the second shop higher than that at the first shop?

  1. 10.2%

  2. 14.7%

  3. 17.4%

  4. 22.5%

  5. 25.6%
Reveal answer Fill a bubble to check yourself
B Correct answer
Explanation

Let the initial price be 100. Shop 1: 100 * 1.20 * 0.85 = 102. Shop 2: 100 * 0.90 * 1.30 = 117. The difference is 117 - 102 = 15. The percent increase relative to Shop 1 is (15 / 102) * 100 = 14.705%.

Multiple choice

The income of a person is 10000 and its expenditure is 6000 and thus saves 4000rs. In the next year his income is increased by 10% and its expenditure increased by 20%. Now his saving is what percent lower than the previous saving?

  1. 5%

  2. 7.5%

  3. 10%

  4. 15%

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

Initial: Income 10000, Exp 6000, Savings 4000. New: Income 11000, Exp 7200 (6000 * 1.2), Savings 3800. Percent decrease = (4000 - 3800) / 4000 = 200 / 4000 = 0.05 = 5%.

Multiple choice

A school library has 3,000 books, 15% of which are encyclopedias. The school management is planning to increase the number of books in the library by another 20%. How many new encyclopedias must be added in the new collection in order to increase the percent of encyclopedias to 20%?

  1. 270

  2. 280

  3. 290

  4. 300

  5. 315
Reveal answer Fill a bubble to check yourself
A Correct answer
Explanation

Initial encyclopedias = 15% of 3000 = 450. Total books after 20% increase = 3000 * 1.2 = 3600. To have 20% of 3600 as encyclopedias, we need 0.2 * 3600 = 720 encyclopedias. The number of new encyclopedias required is 720 - 450 = 270.