A shopkeeper sells an article at 20% profit. Had he bought it at 10% less and sold it for Rs. 30 more, he would have gained 40%. Find the cost price. MCQ with Answer and Explanation

Question

A shopkeeper sells an article at 20% profit. Had he bought it at 10% less and sold it for Rs. 30 more, he would have gained 40%. Find the cost price.

A. Rs. 400

B. Rs. 450

C. Rs. 550

D. Rs. 500

Answer: Option D

Solution (By JKSSB Mock Tests)

CP=x, SP=1.2x. New CP=0.9x, new SP=1.2x+30 = 1.4×0.9x = 1.26x → 0.06x=30 → x=500.

This question belongs to: Maths Percentage

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Question #1

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A can do a piece of work in 20 days. B is 25% more efficient than A. How many days will B alone take to do the work?

A. 14 days

B. 18 days

C. 15 days

D. 16 days

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Correct Answer: Option D

Explanation:
Efficiency ratio A:B = 100:125 = 4:5. Time ratio = 5:4. B's time = (4/5)×20 = 16 days.

This question belongs to: Maths Percentage

Question #2

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Price increased 15% then 10%. Single equivalent increase:

A. 27%

B. 24.5%

C. 25%

D. 26.5%

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Correct Answer: Option D

Explanation:
1.15 × 1.1 = 1.265, increase 26.5%.

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Question #3

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A number is increased by 10%, then increased by 25%, then decreased by 10%. Net percentage change:

A. 20% increase

B. 23.75% increase

C. 22.5% increase

D. 25% increase

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Correct Answer: Option B

Explanation:
1.1 × 1.25 × 0.9 = 1.2375, increase 23.75%.

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