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    A merchant offers a discount of 25% on the list price, due to which she makes a loss of 13%. What percent profit or percent loss will she make if
    Question

    A merchant offers a discount of 25% on the list price, due to which she makes a loss of 13%. What percent profit or percent loss will she make if she sells at a discount of 10% of the list price?

    A.

    4.8% Loss

    B.

    4.8% Profit

    C.

    4.4% Profit

    D.

    4.4% Loss

    Correct option is C

    Given:

    Discount = 25% leads to 13% loss

    Formula used:

    Selling Price (SP) = LP - Discount

    Cost Price (CP) = SP ÷ (1 - Loss%)

    Profit% = SPCPCP\frac{SP-CP}{CP}​× 100

    Solution:

    Let List Price (LP) = ₹100

    For 25% discount:
    SP = ₹100 - ₹25 = ₹75

    13% loss 

    CP = SP ÷ 0.87 = ₹75 ÷ 0.87 = ₹86.21

    Now, for 10% discount:

    SP = ₹100 - ₹10 = ₹90

    Profit% = (9086.21)86.21\frac{(₹90 - ₹86.21) }{ ₹86.21}​ × 100 = 3.7986.21\frac{3.79}{86.21}​× 100 ≈ 4.4%

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