A number is subtracted from 40% of itself and the result is 84. Find 75% of that number. MCQ with Answer and Explanation

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A number is subtracted from 40% of itself and the result is 84. Find 75% of that number.

A. 105

B. 120

C. 140

D. 90

Answer: Option A

Solution (By JKExamLibrary)

x - 0.4x = 0.6x = 84 → x = 140. 75% of 140 = 105.

This question belongs to: Maths Percentage

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Question #1

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A boat takes 6 hours to travel 16 km upstream and 24 km downstream, and it also takes 6 hours to travel 12 km upstream and 36 km downstream. Find the speed of the boat in still water.

A. 12 kmph

B. 8 kmph

C. 5 kmph

D. 10 kmph

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Correct Answer: Option B

Explanation:
Let 1/(u-v)=a, 1/(u+v)=b. 16a+24b=6, 12a+36b=6. Solve: a=1/4, b=1/12 → u-v=4, u+v=12 → u=8.

This question belongs to: Maths Percentage

Question #2

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A student multiplied a number by 2/3 instead of 3/2. What is the percentage error?

A. 50%

B. 55.55%

C. 44.44%

D. 66.66%

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Correct Answer: Option B

Explanation:
True = 3/2x. False = 2/3x. Error = (3/2 - 2/3)x = (5/6)x. % Error = ((5/6) / (3/2)) * 100 = (10/18) * 100 = 55.55%.

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Question #3

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A number is increased by 15% and then decreased by 15%. If the resulting number is 782, what was the original number?

A. 800

B. 780

C. 750

D. 820

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Correct Answer: Option A

Explanation:
1.15 × 0.85 = 0.9775. 0.9775x = 782 → x = 782/0.9775 = 800.

This question belongs to: Maths Percentage

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