A trader sells an article at a profit of 20%. 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 trader sells an article at a profit of 20%. 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. 600

C. Rs. 500

D. Rs. 700

Answer: Option C

Solution (By JKSSB Mock Tests)

CP=x, SP=1.2x. New CP=0.9x, new SP=1.2x+30. Profit 40% on new CP → 1.2x+30 = 1.4×0.9x = 1.26x → 30 = 0.06x → x=500.

This question belongs to: Maths Percentage

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Question #1

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A sum of money at simple interest amounts to Rs. 920 in 3 years and to Rs. 1040 in 5 years. Find the principal.

A. Rs. 740

B. Rs. 700

C. Rs. 720

D. Rs. 760

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Correct Answer: Option A

Explanation:
SI for 2 years = 1040-920 = 120, SI per year = 60. For 3 years, SI = 180, principal = 920-180 = 740.

This question belongs to: Maths Percentage

Question #2

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Sold watch at 8% loss. If sold for Rs. 104 more, gain 8%. Cost price:

A. 650

B. 600

C. 625

D. 675

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Correct Answer: Option A

Explanation:
CP=x, SP=0.92x. 0.92x+104=1.08x → 0.16x=104 → x=650.

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Question #3

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If the radius of a circle is increased by 100%, the area increases by:

A. 300%

B. 200%

C. 500%

D. 400%

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Correct Answer: Option A

Explanation:
Area proportional to radius². New radius 2r, area 4 times, increase = 300% (i.e., 4-1 = 3 times = 300%).

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