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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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