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    Ketan bought a shirt and sold it to Mahesh at a profit of 5%. Mahesh sold it to David at a loss of 24%. If David paid Rs. 3990, then the cost price (i
    Question

    Ketan bought a shirt and sold it to Mahesh at a profit of 5%. Mahesh sold it to David at a loss of 24%. If David paid Rs. 3990, then the cost price (in Rs. ) of the shirt Ketan bought is

    A.

    5150

    B.

    4800

    C.

    5000

    D.

    4750

    Correct option is C

    Given:

    Profit from Ketan to Mahesh = 5%

    Loss from Mahesh to David = 24%

    Selling Price (SP) for David = ₹3990

    Formula Used:

    SP = CP×(1+Profit or Loss %100)\text{CP} \times \left(1 + \frac{\text{Profit or Loss \%}}{100}\right)​​

    Solution:

    David bought it at a 24% loss from Mahesh:

    Mahesh's SP = 3990124100=39900.76\frac{3990}{1 - \frac{24}{100}} = \frac{3990}{0.76}​ = ₹5250

    Mahesh bought it at 5% profit from Ketan:

    Ketan's CP =52501+5100=52501.05 \frac{5250}{1 + \frac{5}{100}} = \frac{5250}{1.05}​ = ₹5000

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