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    In a stock clearance sale, a shopkeeper gives 40% off on all his items. He incurs a loss of 25% by selling an item of marked price Rs. 2,000/-, which
    Question

    In a stock clearance sale, a shopkeeper gives 40% off on all his items. He incurs a loss of 25% by selling an item of marked price Rs. 2,000/-, which one of the following is the cost price of the item?

    A.

    Rs. 1,800/-

    B.

    Rs. 1,200/-

    C.

    Rs. 1,600/-

    D.

    Rs. 1,400/-

    Correct option is C

    Given:
    Marked Price (MP) = Rs. 2,000

    Discount = 40%

    Loss = 25%

    Need to find Cost Price (CP)

    Formula Used:
    Selling Price (SP) = Marked Price × (1 − Discount%)

    Cost Price (CP) = Selling Price ÷ (1 − Loss%)

    Solution:
    Step 1: Calculate Selling Price
    SP = 2000 × (1 − 40/100) = 2000 × 0.60 = Rs. 1,200

    Step 2: Use loss formula to find CP
    Since loss = 25%, SP = 75% of CP

    => CP = SP ÷ 0.75 = 1200 ÷ 0.75 = Rs. 1,600

    Ans. (c) Rs. 1,600/-


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