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    A dealer marks his goods at 15% above the cost price and allows a discount of 5% for cash payment. His profit percentage is:
    Question

    A dealer marks his goods at 15% above the cost price and allows a discount of 5% for cash payment. His profit percentage is:

    A.

    9.25%

    B.

    7.25%

    C.

    11.25%

    D.

    10.25%

    Correct option is A

    Given:

    A dealer marks his goods at 15% above the cost price and allows a discount of 5% for cash payment.

    Formula used:

    SP = MP(1 - D%)

    P%=[(SPCP)CP]×100P \% = [\frac{(SP - CP)}{CP}] × 100​​

    Solution:

    Let CP be x and MP be 1.15x

    According to the question,

    SP = 1.15x(1 - 5%)

    => SP = 1.15x(1 - 0.05)

    => SP = 1.15x(0.95) = 1.0925x

    Now the Profit %,

    P P\ % = [\frac{(1.0925x - x)}{x}] × 100 \\\ \\=> P\% = [\frac{0.0925x}{x}] × 100 \\\ \\=> P\% = 0.0925 × 100 = 9.25\%​​

    ∴ His profit percentage is 9.25%

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