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

In a certain election, 20 percent of the people who voted were from party X and the remaining voters were from party Y. On a certain issue, all the voting members of party X say no and 60 percent of the entire group of voters say no. What percent of the voting members of party Y say no?

  1. 20%

  2. 40%

  3. 50%

  4. 60%

  5. 100%
Reveal answer Fill a bubble to check yourself
C Correct answer
Explanation

Let total voters be 100. Party X = 20, Party Y = 80. Party X says no = 20. Total says no = 60. So Party Y says no = 60 - 20 = 40. Percentage of Party Y = 40 / 80 = 50%.

Multiple choice

There are 15 children. Each of them has a different number of chocolates from 1 to 15. If all the children having odd number of chocolates eat 1 chocolate, then what is the percentage decrease in the average number of the chocolates?

  1. 6.6%

  2. 10%

  3. 15%

  4. 16.6%
Reveal answer Fill a bubble to check yourself
A Correct answer
Explanation

Original average = (1+15)/2 = 8. Odd numbers are 1, 3, 5, 7, 9, 11, 13, 15 (8 numbers). New values: 0, 3, 4, 7, 8, 11, 12, 15 (for odds, subtract 1). Sum = 0+2+3+5+6+9+10+13+2+4+6+8+10+12+14 = 104. New average = 104/15 = 6.933. Decrease = 8 - 6.933 = 1.066. Percentage decrease = (1.066/8) * 100 = 13.33%. Re-checking calculation: The average of 1 to 15 is 8. Sum of odd numbers is 64. If each odd number decreases by 1, the sum decreases by 8. New sum = 120 - 8 = 112. New average = 112/15 = 7.466. Decrease = 8 - 7.466 = 0.533. Percentage = 0.533/8 = 6.66%.

Multiple choice

A person spends 20% of his income on food, 20% on rent and 30% of the remaining income on shopping and saves the rest. In a particular month, due to the festival season, he spent twice the amount on shopping than what he usually spends. What is the (approximate) percentage decrease in his savings?

  1. 20%

  2. 37%

  3. 43%

  4. 50%

  5. 66%
Reveal answer Fill a bubble to check yourself
C Correct answer
Explanation

Let Income = 100. Food = 20, Rent = 20. Remaining = 60. Shopping = 30% of 60 = 18. Savings = 60 - 18 = 42. Festival: Shopping = 18 * 2 = 36. New Savings = 100 - 20 - 20 - 36 = 24. Decrease = (42 - 24) / 42 = 18 / 42 = 3/7 = 42.85%.

Multiple choice

A shopkeeper purchased a chair marked at Rs. 800 at two successive discounts of 10% and 15%. He spent Rs. 28 on its transportation and sold the chair for Rs. 800. What is his profit percentage?

  1. 40%

  2. 30%

  3. 25%

  4. 14%

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

Marked price = 800. After 10% discount, 720. After 15% discount on 720, 720 * 0.85 = 612. Total cost = 612 + 28 = 640. Selling price = 800. Profit = 800 - 640 = 160. Profit % = (160 / 640) * 100 = 25%.

Multiple choice

If the price of ice cream increases by a quarter and Vaibhav intends to spend only an additional fifteen percent on it, by how much percentage will he reduce the quantity of ice cream purchased?

  1. 10%

  2. 12%

  3. 8%

  4. 6.67%

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

Let the initial price be P and quantity be Q. The new price is 1.25P, and the new expenditure is 1.15PQ. The new quantity purchased is 1.15PQ / 1.25P = 0.92Q, which represents an 8% reduction in quantity.