A shopkeeper sells an article at 20% profit. Had he bought it at 20% less and sold it for Rs. 10 less, he would have gained 25%. Cost price is: MCQ with Answer and Explanation

Question

A shopkeeper sells an article at 20% profit. Had he bought it at 20% less and sold it for Rs. 10 less, he would have gained 25%. Cost price is:

A. Rs. 40

B. Rs. 50

C. Rs. 45

D. Rs. 55

Answer: Option B

Solution (By JKExamLibrary)

CP=x, SP=1.2x. New CP=0.8x, new SP=1.2x-10 = 1.25×0.8x = x → 1.2x-10=x → 0.2x=10 → x=50.

This question belongs to: Maths Percentage

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Question #1

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If 40% of a number exceeds 25% of the same number by 36, find the number.

A. 240

B. 200

C. 260

D. 220

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Correct Answer: Option A

Explanation:
0.4x - 0.25x = 0.15x = 36 x = 240.

This question belongs to: Maths Percentage

Question #2

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65% of a number is 21 less than 80%. Number is:

A. 130

B. 120

C. 140

D. 150

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Correct Answer: Option C

Explanation:
0.8x - 0.65x = 21 → 0.15x = 21 → x = 140.

This question belongs to: Maths Percentage

Question #3

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The price of a commodity is increased by x% then decreased by x%. Net decrease is 4%. Find x.

A. 15

B. 10

C. 20

D. 25

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Correct Answer: Option C

Explanation:
(1+x/100)(1-x/100) = 0.96 → 1 - x²/10000 = 0.96 → x² = 400 → x = 20.

This question belongs to: Maths Percentage

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