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A man sells a good at 5% profit. If he had sold it at a 10% profit, he would have received 175 more. What is the selling price of the good?
Question

A man sells a good at 5% profit. If he had sold it at a 10% profit, he would have received 175 more. What is the selling price of the good?

A.

Rs. 3,750

B.

Rs. 3,850

C.

Rs. 3,675

D.

Rs. 3,500

Correct option is C

Given:

Let Cost price (C.P.) = 100x

Profit cases: 5 % and 10 %

Difference in selling prices = ₹175

Formula Used:

S.P. = C.P. × (100 + profit %) / 100

Solution: 

Sold at 5% profit then SP = 100x×105100=105x100x\times \frac{105}{100} = 105x 

Sold at 10% profit then SP = 100x×110100=110x100x\times \frac{110}{100} = 110x 

Now, 

110x - 105x = 175

5x = 175

x = 35 

So, 

original S.P. = 105 × 35 = ₹3675

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