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 person saves 25% of his salary every month. His salary is increased by 50%, thius his expenditure also increased by 60%. Find net percentage change in his saving.

  1. Increased by 12.5%

  2. Decreased by 12.5%

  3. Increased by 20%

  4. Decreased by 20%
Reveal answer Fill a bubble to check yourself
C Correct answer
Explanation

Let salary = 100, then original savings = 25 (25%), expenditure = 75. After 50% salary increase, new salary = 150. After 60% expenditure increase, new expenditure = 75 × 1.6 = 120. New savings = 150 - 120 = 30. Percentage change in savings = (30 - 25) / 25 × 100 = 20% increase.

Multiple choice

The price of flour has come down by 30%. By what percentage will the consumption have to increase so that the expenditure remains the same?
  1. $42.85%$
  2. $53.67%$
  3. $44.68%$
  4. $39.75%$
Reveal answer Fill a bubble to check yourself
A Correct answer
Explanation

Original price = P, reduced price = 0.7P. For expenditure E = P × consumption to remain constant: new consumption must be E/0.7P = P/0.7P = 1/0.7 ≈ 1.4286. This is a 42.86% increase. Formula: % increase = (% decrease/(100 - % decrease)) × 100 = (30/70) × 100 ≈ 42.86%.

Multiple choice

Prakash spends 60% of his income. If his income is increased by 12% and his expenditure also increases by 5% as compared to his previous expenditure. What must be the percentage increase in his savings?

  1. 12.50%

  2. 22.50%

  3. 18.50%

  4. 27.50%
Reveal answer Fill a bubble to check yourself
B Correct answer
Explanation

Let initial income = 100. Expenditure = 60, so savings = 40. New income after 12% increase = 112. New expenditure after 5% increase = 60 × 1.05 = 63. New savings = 112 - 63 = 49. Increase in savings = 49 - 40 = 9. Percentage increase = (9/40) × 100 = 22.5%. Option A (12.5%) would be the increase if expenditure stayed at 60, but expenditure also increased.

Multiple choice

If the price of an article is decreased by 25\%, then to restore its former value the new price must be increased by what percent?
  1. $33.33$
  2. $50$
  3. $20$
  4. $25$
Reveal answer Fill a bubble to check yourself
A Correct answer
Explanation

Let the original price be 100. After a 25% decrease, the price becomes 75. To restore it to 100, we need an increase of 25 on 75, which is 25/75 × 100 = 33.33%. This is because the percentage increase needed to reverse a decrease is always greater than the original decrease percentage.

Multiple choice

A person spends 65% of his total income . If his income is increased by 30% and his expenditure also increased by 20% . Find percentage change in his saving?

  1. 37.5%

  2. 48.6%

  3. 30%

  4. 52.4%

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

Let original income be 100. Expenditure = 65, savings = 35. After 30% increase: new income = 130. After 20% expenditure increase: new expenditure = 65×1.2 = 78. New savings = 130-78 = 52. Percentage change in savings = (52-35)/35 × 100 = 17/35 × 100 = 48.57% ≈ 48.6%. Option B is correct.

Multiple choice

Shyam spends 80% of his total income. His income decreases by 15%, he also decreases his expenditure by 20%, find percentage increase in his saving.

  1. 5.5%

  2. 6%

  3. 5%

  4. 8%

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

Let original income = 100. Original spends 80, saves 20. New income = 85. New expenditure = 80 × 0.8 = 68. New savings = 85 - 68 = 17. Percentage increase = (17 - 20)/20 × 100 = -3/20 × 100 = -15%. Wait - savings decreased. Let me recalculate: New savings = 17, old savings = 20. That's a decrease of 3, which is 15% decrease. But answer says 5% increase. Let me check: If original income is 100, expenditure is 80, savings is 20. Income decreases 15% so becomes 85. Expenditure decreases 20% of 80 = 16, so becomes 64. New savings = 85 - 64 = 21. Increase from 20 to 21 is 1/20 = 5%.

Multiple choice

If the height of a right circular cylinder is increased by 125% and its base radius reduced by 33.33%, Then finds the percentage change in its volume?

  1. No change

  2. 5% increase

  3. 5% decrease

  4. 10% increase
Reveal answer Fill a bubble to check yourself
A Correct answer
Explanation

Volume of cylinder = πr²h. Height increased by 125% means new height = h + 1.25h = 2.25h. Base radius reduced by 33.33% means new radius = r - r/3 = 2r/3. New volume = π(2r/3)²(2.25h) = π(4r²/9)(2.25h) = πr²h × (4/9)(9/4) = πr²h × 1 = original volume. Therefore, there is no change in volume, making option A correct. The 125% increase and 33.33% decrease are carefully chosen to cancel out.

Multiple choice

Pramod saves 15% of his income. His income is raised by 12%, but the saving remains the same. Find the percentage increase in his expenditure?
  1. $14.10%$
  2. $35.26%$
  3. $14.12%$
  4. $35.45%$
  5. $None of these$
Reveal answer Fill a bubble to check yourself
C Correct answer
Explanation

Let original income = 100. Savings = 15% of 100 = 15. Original expenditure = 100 - 15 = 85. New income = 100 + 12% of 100 = 112. Savings remain 15. New expenditure = 112 - 15 = 97. Percentage increase in expenditure = (97 - 85)/85 × 100 = 12/85 × 100 = 14.12%. This confirms option C is correct. The formula simplifies to (percentage increase in income)/(1 - savings rate) when savings are constant.

Multiple choice

A shopkeeper marked up the price of an item by 96% on the actual cost price and allows the discount of 25%. If he gave 2 items free on every dozen purchase, then find the profit percent on sale of 1 dozen items?

  1. 35%

  2. 36%

  3. 25%

  4. 26%
Reveal answer Fill a bubble to check yourself
D Correct answer
Explanation

Let CP = 100. MP = 196. SP = 196 × 0.75 = 147. For 14 items (12 paid + 2 free), total CP = 1400, total SP = 147 × 12 = 1764. Profit% = (1764-1400)/1400 × 100 = 26%. Track costs and revenue carefully when free items are involved.