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. 120

B. 160

C. 140

D. 150

Answer: Option D

Solution (By JKSSB Mock Tests)

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 number is increased by 20% and then decreased by 25%. The result is 36 less than the original. Find the original number.

A. 300

B. 360

C. 320

D. 400

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Correct Answer: Option B

Explanation:
1.2 × 0.75 = 0.9. 0.9x = x - 36 → 0.1x = 36 → x = 360.

This question belongs to: Maths Percentage

Question #2

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Price of pen up 15%. By what % reduce consumption so that expenditure rises only 5%?

A. 9.09%

B. 10%

C. 8%

D. 8.7%

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Correct Answer: Option D

Explanation:
1.15 × x = 1.05 → x = 1.05/1.15 ≈ 0.91304, reduction = 8.7%.

This question belongs to: Maths Percentage

Question #3

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If the price of a pen is increased by 25%, its new price is Rs. 125. Original price was:

A. Rs. 105

B. Rs. 90

C. Rs. 95

D. Rs. 100

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Correct Answer: Option D

Explanation:
1.25P = 125 → P = 100.

This question belongs to: Maths Percentage

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