Quantitative Aptitude

Percentage questions with solutions

Percentage is the base of profit and loss, interest, data interpretation and ratio questions. SSC and railway papers also ask direct percentage questions. Knowing fraction equivalents (12.5% = 1/8, 37.5% = 3/8, 16⅔% = 1/6) saves a lot of time.

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Prepared by the CBTAdda content team · Updated 28 October 2026 · How we check our content

How to solve percentage questions

“A is p% more than B” means A = B × (100 + p)/100. B is then less than A by p/(100 + p) × 100 percent.
For two successive changes of a% and b%, the net change is a + b + ab/100 (use negative values for decreases).
Convert percentages to fractions where possible: 45% of 800 is quicker as 800 × 9/20.

Common trap: A 20% rise followed by a 20% fall is not zero; it is a 4% loss.

12 practice questions

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Ravi earns ₹40,000 a month. He spends 30% on rent and 15% on food. How much is left?
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Answer: (A) ₹22,000. He spends 45% in all, so 55% is left: 55% of ₹40,000 = ₹22,000.
Ravi earns ₹44,000 a month. He spends 40% on rent and 10% on food. How much is left?
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Answer: (B) ₹22,000. He spends 50% in all, so 50% is left: 50% of ₹44,000 = ₹22,000.
Ravi earns ₹48,000 a month. He spends 40% on rent and 20% on food. How much is left?
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Answer: (C) ₹19,200. He spends 60% in all, so 40% is left: 40% of ₹48,000 = ₹19,200.
A's salary is 100% more than B's. By what percentage is B's salary less than A's?
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Answer: (D) 50%. B is less by 100 ÷ (100 + 100) × 100 = 50%.
The price of an item is increased by 25% and then decreased by 20%. What is the net change?
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Answer: (A) No change. Net change = 25 − 20 − (25 × 20)/100 = 0%, which is no change.
What is 15% of 200?
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Answer: (A) 30. 15% of 200 = 15 × 200 ÷ 100 = 30.
A's salary is 25% more than B's. By what percentage is B's salary less than A's?
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Answer: (C) 20%. B is less by 25 ÷ (100 + 25) × 100 = 20%.
The price of an item is increased by 40% and then decreased by 10%. What is the net change?
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Answer: (B) 26% increase. Net change = 40 − 10 − (40 × 10)/100 = 26%, which is 26% increase.
A's salary is 150% more than B's. By what percentage is B's salary less than A's?
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Answer: (A) 60%. B is less by 150 ÷ (100 + 150) × 100 = 60%.
The price of an item is increased by 10% and then decreased by 20%. What is the net change?
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Answer: (D) 12% decrease. Net change = 10 − 20 − (10 × 20)/100 = -12%, which is 12% decrease.
A's salary is 60% more than B's. By what percentage is B's salary less than A's?
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Answer: (D) 37.5%. B is less by 60 ÷ (100 + 60) × 100 = 37.5%.
The price of an item is increased by 30% and then decreased by 20%. What is the net change?
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Answer: (D) 4% increase. Net change = 30 − 20 − (30 × 20)/100 = 4%, which is 4% increase.