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

Last month, the total number of students at Sunshine High School decreased by 15 percent after the average tuition fee per student was increased by 12 percent. What was the percentage change in the revenue of Sunshine High School?

  1. 8.5% decrease

  2. 4.8% decrease

  3. 3.8% decrease

  4. 4.8% increase

  5. 12% increase
Reveal answer Fill a bubble to check yourself
B Correct answer
Explanation

Revenue = Students * Fee. New Revenue = (0.85 * Students) * (1.12 * Fee) = 0.952 * Original Revenue. This represents a 4.8% decrease.

Multiple choice

Two students appeared for an examination. One student secured 10% more marks than the other. The sum of marks of both students was 63% of the total marks. What percent are the marks of the student securing higher, of the total marks secured by both the students?

  1. 55%

  2. 53.25%

  3. 52.3%

  4. 54%

  5. 65%
Reveal answer Fill a bubble to check yourself
C Correct answer
Explanation

Let the marks be x and 1.1x. The sum is 2.1x = 0.63 * T, where T is total marks. Thus, T = 2.1x / 0.63 = 3.333x. The higher mark is 1.1x. The percentage is (1.1x / 2.1x) * 100 = 52.38%.

Multiple choice

A tech company's revenue grew from \$2.8 million to \$3.36 million in one year. By what percentage did the company's revenue increase? Additionally, if the growth continues at the same rate, what will the revenue be in the next year?
  1. 20%, $3.402 million
  2. 17%, $4.023 million
  3. 20%, $4.032 million
  4. 23%, $4.302 million
  5. 18%, $4.320 million
Reveal answer Fill a bubble to check yourself
C Correct answer
Explanation

Percentage increase = ((3.36 - 2.8) / 2.8) * 100 = (0.56 / 2.8) * 100 = 20%. Next year revenue = 3.36 * 1.20 = 4.032 million.

Multiple choice

A store initially increases the price of a product by 20%. Later, due to slow sales, the store decreases the new price by 15%. What is the overall percentage change in the original price of the product?

  1. 2% increase

  2. 5% increase

  3. 3% decrease

  4. 5% decrease

  5. No change
Reveal answer Fill a bubble to check yourself
A Correct answer
Explanation

Let the original price be 100. After a 20% increase, the price is 120. A 15% decrease on 120 is 120 * 0.15 = 18, so the final price is 120 - 18 = 102. This represents a 2% increase from the original price.

Multiple choice

Jane owns a small bookstore in a quaint town. She buys a batch of 200 books for $1,200 in total. She decides to mark up the price of each book by 40% to set the selling price. However, to attract more customers, she offers a promotional discount of 20% on the marked price. Despite the discount, Jane still makes a profit on each book. What is the profit percentage Jane makes on each book after applying the discount?

  1. 10%

  2. 12%

  3. 15%

  4. 16%

  5. 18%
Reveal answer Fill a bubble to check yourself
B Correct answer
Explanation

Let cost price = 100. Marked price = 140. Selling price = 140 * 0.8 = 112. Profit = 112 - 100 = 12. Profit percentage = 12%.

Multiple choice

Maya owns a retail store where the dimensions of length, width, and height are in the ratio 6 : 4 : 3. She plans to expand the store by doubling the length and reducing both the width and height by one-third. By what percentage will the total surface area (T.S.A.) of the store change as a result of this expansion?

  1. Increase by 16.6%

  2. Increase by 13.6%

  3. Decrease by 13.6%

  4. Decrease by 16.6%
Reveal answer Fill a bubble to check yourself
B Correct answer
Explanation

Initial dimensions: 6k, 4k, 3k. TSA = 2(24k^2 + 12k^2 + 18k^2) = 2(54k^2) = 108k^2. New dimensions: 12k, (2/3)*4k, (2/3)*3k = 12k, 8k/3, 2k. New TSA = 2((12k * 8k/3) + (8k/3 * 2k) + (12k * 2k)) = 2(32k^2 + 16k^2/3 + 24k^2) = 2(56k^2 + 5.33k^2) = 122.66k^2. Change = (122.66 - 108)/108 = 14.66/108 = 13.57%.