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

Sophie has invested in an organization. The value of her investment has decreased by 6.8 percent since her initial investment. If her initial investment was $17,800, then what is the current value of her investment?
  1. $16,589.6
  2. $16,580.0
  3. $15,589.6
  4. $15,450.0
  5. $15,359.0
Reveal answer Fill a bubble to check yourself
A Correct answer
Explanation

To find the current value, subtract 6.8 percent of the initial investment from the total. Calculate 0.068 * 17800 = 1210.4, then 17800 - 1210.4 = 16589.6.

Multiple choice

Albert is a taxi driver and spends a total of $600 on petrol. Suddenly the prices of petrol are hiked and now for the same amount of money, he will get 4 gallons of petrol less than earlier. If the price of petrol was increased by 20%, then what is the amount by which the price of petrol increased per gallon?
  1. $4
  2. $5
  3. $6
  4. $8
  5. $10
Reveal answer Fill a bubble to check yourself
B Correct answer
Explanation

Let P be the original price. 600/P - 600/(1.2P) = 4. 600/P - 500/P = 4. 100/P = 4, so P = 25. The new price is 1.2 * 25 = 30. The increase is 30 - 25 = 5.

Multiple choice

Jaxon bought a piece of land on which he wanted to build a swimming pool of a rectangular shape. The builder gave the measurements of the pool to Jaxon. After discussion, Jaxon decided to decrease the length of the pool by 20% and increase the width by 20%. What would be the percentage increase or decrease in the area of the rectangular swimming pool?

  1. 10%

  2. 8%

  3. 6%

  4. 4%

  5. 2%
Reveal answer Fill a bubble to check yourself
D Correct answer
Explanation

Let original length be L and width be W. Area = LW. New length = 0.8L, new width = 1.2W. New area = 0.8 * 1.2 * LW = 0.96LW. This is a 4% decrease.

Multiple choice

Directions : Select the correct alternative from the given choices. If the price of a commodity increases by 20%, by what percent should a family reduce its consumption of that commodity, such that the expenditure by the family on the commodity increases by only 8%?

  1. 8%

  2. 10%

  3. 15%

  4. 25%
Reveal answer Fill a bubble to check yourself
B Correct answer
Explanation

Let initial price be 100 and consumption be 100. Expenditure = 10,000. New price = 120. New expenditure = 10,000 * 1.08 = 10,800. New consumption = 10,800 / 120 = 90. Reduction = 100 - 90 = 10%.

Multiple choice

Directions : Select the correct alternative from the given choices. From the year 2013 to 2014, the population of a village increased by 600 and then, from the year 2014 to 2015, it decreased by 5%. If the population of the village in 2015 is 150 less than that in 2013, then the population of the village in 2013 is what percent of that in 2014?

  1. 92%

  2. 94%

  3. 96%

  4. None of the above
Reveal answer Fill a bubble to check yourself
C Correct answer
Explanation

Let P be pop in 2013. Pop in 2014 = P + 600. Pop in 2015 = 0.95(P + 600). Given 0.95(P + 600) = P - 150. 0.95P + 570 = P - 150. 0.05P = 720. P = 14400. Pop 2014 = 15000. Ratio = 14400/15000 = 0.96 = 96%.

Multiple choice

During a certain year, imports of United States increased by 20 percent and exports decreased by 10 percent. The ratio of imports to exports at the end of the year was how many times the ratio at the beginning of the year?

  1. 12 11 times

  2. 4 3 times

  3. 11 8 times

  4. 3 2 times

  5. 2 times
Reveal answer Fill a bubble to check yourself
B Correct answer
Explanation

Let initial imports be I and exports be E. Ratio = I/E. New imports = 1.2I, new exports = 0.9E. New ratio = 1.2I / 0.9E = (1.2/0.9) * (I/E) = 4/3 * (I/E).

Multiple choice

The table below gives the age-wise population percentage of a city: Age group Percentage Below 30 years 14.00 30-34.99 29.75 35-39.99 26.25 40-44.99 0 45-49.99 18.50 50 years and above 11.50 The number of persons below the age of 40 years is 10.5 lakhs. What is the total population of the city (in lakhs)?

  1. 21

  2. 18

  3. 15

  4. 12
Reveal answer Fill a bubble to check yourself
C Correct answer
Explanation

Percentage below 40 years = 14.00 + 29.75 + 26.25 = 70%. 70% of Total = 10.5 lakhs. Total = 10.5 / 0.7 = 15 lakhs.