The difference between 60% of a number and 40% of the same number is 100. What is 30% of that number? MCQ with Answer and Explanation

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The difference between 60% of a number and 40% of the same number is 100. What is 30% of that number?

A. 160

B. 150

C. 140

D. 120

Answer: Option B

Solution (By JKExamLibrary)

0.6x - 0.4x = 0.2x = 100 → x = 500, 30% = 150.

This question belongs to: Maths Percentage

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Question #1

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A's salary 15% less than B's. By what % must A's salary be raised to equal B's?

A. 16.67%

B. 17.65%

C. 18%

D. 15%

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Correct Answer: Option B

Explanation:
A=85, B=100. Increase needed = (15/85)×100 ≈ 17.65%.

This question belongs to: Maths Percentage

Question #2

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Two numbers 20% and 35% less than a third. Second is what % of first?

A. 80%

B. 81.25%

C. 75%

D. 85%

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Correct Answer: Option B

Explanation:
Third=100, first=80, second=65; (65/80)×100 = 81.25%.

This question belongs to: Maths Percentage

Question #3

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A man spends 40% of his income on food, 30% of the remainder on rent, and saves the rest. If he saves Rs. 3780, find his income.

A. Rs. 8000

B. Rs. 8400

C. Rs. 9000

D. Rs. 9600

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Correct Answer: Option C

Explanation:
Food 40%, left 60%. Rent 30% of 60% = 18% of income. Total spend = 58%, save 42% = 3780 → income = 3780/0.42 = 9000.

This question belongs to: Maths Percentage

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