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    The ratio of the cost price to the marked price of a table is 3:4. The shopkeeper gives two equal successive discounts of 25% on the marked price and
    Question

    The ratio of the cost price to the marked price of a table is 3:4. The shopkeeper gives two equal successive discounts of 25% on the marked price and sells the table for Rs.2,250. Find the loss during this transaction.

    A.

    Rs.1,000

    B.

    Rs.750

    C.

    Rs.500

    D.

    Rs.250

    Correct option is B

    Given:

    Cost Price (CP) : Marked Price (MP) = 3 : 4

    Two successive discounts = 25% each

    Selling Price (SP) = ₹2,250

    Solution: 

    Let CP : MP = 3x : 4x

    SP = 4x×75100×751004x \times \frac{75}{100} \times \frac{75}{100}​ 

    2250 = 9x4\frac{9x}4​​

    x = Rs. 1000

    Loss = CP – SP = 3000 – 2250 = Rs. 750

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