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Question

A trader adds 40% of the price he pays for his goods to give the selling price. He later reduces the price of the goods, in a sale, by 25%. Find the price paid by the trader for an article whose sale price is Rs. 1,575.

A
Rs. 1,500
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B
Rs. 1,700
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C
Rs. 1,900
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D
Rs. 2,100
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Solution

The correct option is B Rs. 1,500
Given original cost price be =Rsx
After marking up the goods at 40 %, the price becomes 1.40×x=Rs1.4x
After 25 % discount, the selling price becomes 0.75 of Rs1.4x=0.75×1.4x=Rs1.05x
Given, S.P.=1,575
=>Rs1.05x=Rs1,575
=>x=Rs1,500
So, C.P =Rs1,500

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