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A man sells a pen at a profit of 20%. Had he bought it at 20% less and sold it for Rs. 5 less, he would have gained 25%. What is the cost price of the pen?

A.	Rs. 25	B.	Rs. 30
C.	Rs. 40	D.	Rs. 20

Answer and Explanation

Answer:Rs. 25

Explanation:
Let the Cost Price = Rs x.
Profit = 20%
SP = CP(100 + gain% / 100) = x(12/100) = 12x/10
If CP = 0.8x and SP = 12x / 10 – 5
Then gain percentage = 25, i.e 25 = (12x/10 -5 -8x/10) / 8/10x × 100
2x = 4x – 50
i.e. 2x = 50
Cost price of the pen = Rs 25

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