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Percentages — Data Sufficiency Questions & Practice

Practise 4 Percentages questions from Data Sufficiency for competitive exams such as UPSC, Banking, SSC and Railway. Read the worked questions below, check every answer with an explanation, and track what you get wrong.

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Practice questions on Percentages — with answers

Try each question first, then open the answer. Explanations are included.

1. What percentage discount was given on a product? I. The marked price of the product was Rs. 500. II. The product was sold for a profit.

AStatement I alone is sufficient, but Statement II alone is not sufficient
BStatement II alone is sufficient, but Statement I alone is not sufficient
CBoth statements I and II together are sufficient, but neither alone is sufficient
DBoth statements I and II together are not sufficient

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Answer: D

Neither statement gives the selling price, so the discount percentage cannot be calculated even when combined, since profit alone does not specify an amount.

2. Is X at least 25% more than Y? I. X = 125. II. Y is a positive number.

AStatement I alone is sufficient, but Statement II alone is not sufficient
BStatement II alone is sufficient, but Statement I alone is not sufficient
CBoth statements I and II together are sufficient, but neither alone is sufficient
DBoth statements I and II together are not sufficient

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Answer: D

Even knowing X's value and that Y is positive, without Y's exact value the percentage relationship between X and Y cannot be established.

3. What percentage of Rina's salary does she spend on rent? I. Rina's monthly salary is Rs. 50,000. II. Rina saves Rs. 10,000 per month after all expenses, of which rent is a part.

AStatement I alone is sufficient, but Statement II alone is not sufficient
BStatement II alone is sufficient, but Statement I alone is not sufficient
CBoth statements I and II together are sufficient, but neither alone is sufficient
DBoth statements I and II together are not sufficient

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Answer: D

Even combined, the statements don't isolate the rent amount specifically from total expenses, so the percentage spent on rent cannot be determined.

4. What is the value of a number if it is increased by 25% and then decreased by 20% to return to its original value? I. The number is increased by 25%. II. The number is then decreased by 20% to return exactly to the original value.

AStatement I alone is sufficient, but Statement II alone is not sufficient
BStatement II alone is sufficient, but Statement I alone is not sufficient
CBoth statements I and II together are sufficient, but neither alone is sufficient
DBoth statements I and II together are not sufficient

Show answer

Answer: D

Since increasing by 25% and then decreasing by 20% mathematically always returns to the original value (1.25x0.80=1.0) regardless of the starting number, neither statement provides any specific numeric value, so the actual number cannot be determined.

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Percentages — Data Sufficiency Questions & Practice

Practice questions on Percentages — with answers

1. What percentage discount was given on a product? I. The marked price of the product was Rs. 500. II. The product was sold for a profit.

2. Is X at least 25% more than Y? I. X = 125. II. Y is a positive number.

3. What percentage of Rina's salary does she spend on rent? I. Rina's monthly salary is Rs. 50,000. II. Rina saves Rs. 10,000 per month after all expenses, of which rent is a part.

4. What is the value of a number if it is increased by 25% and then decreased by 20% to return to its original value? I. The number is increased by 25%. II. The number is then decreased by 20% to return exactly to the original value.

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