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A shopkeeper named Ramesh marks his articles at such a price that, even after allowing a discount of 20% on the marked price, he earns a profit of 15%
Question

A shopkeeper named Ramesh marks his articles at such a price that, even after allowing a discount of 20% on the marked price, he earns a profit of 15%, What is the marked price of one article, which costs Rs. 5,600?

A.

Rs. 10,550

B.

Rs. 9,000

C.

Rs. 7,950

D.

Rs. 8,050

Correct option is D

Discount = 20%
Gain = 15%
The cost price of the article = Rs. 5600
SP = (100 + gain%)/100 × CP
Discount = MP – SP
Marked price = [100/(100 – Discount%) × SP]
The cost price of the article = Rs. 5600
Selling price of the article = [(100 + gain%)/100 × CP]
[(100 + 15)/100 × 5600]
(115/100 × 5600)
6440
Now,
Marked price = [100/(100 – Discount%) × SP]
[100/(100 – 20) × 700]
(100/80 × 6440) = 8050
The answer is 8050.

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