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    An overall profit of 25.5% is to be made from the sale of two products. One of them was sold at a loss of 8.5%. At what profit percentage should the s
    Question

    An overall profit of 25.5% is to be made from the sale of two products. One of them was sold at a loss of 8.5%. At what profit percentage should the second product be sold, given that the cost prices of the first and the second products are in the ratio 3:5?

    A.

    53.6%

    B.

    51.4%

    C.

    47.2%

    D.

    45.9%

    Correct option is D

    Given:
    Overall profit = 25.5%
    First product sold at a loss of 8.5%
    Cost price ratio of first and second products = 3:5

    Concept Used:
    The weighted average profit/loss percentage is calculated using the given ratio of cost prices.

    Solution:

    (3×(8.5))+(5×x)3+5=25.5\frac{(3 \times (-8.5)) + (5 \times x)}{3+5} = 25.5​​

    (3×8.5)+(5×x)8=25.5\frac{(3 \times -8.5) + (5 \times x)}{8} = 25.5​​

    25.5+5x8=25.5\frac{-25.5 + 5x}{8} = 25.5​​

    -25.5 + 5x = 204

    5x = 229.5

    x = 45.9

    So. the second product should be sold at a profit of 45.9%.

    Thus, the correct answer is (d).

    Alternative Method;

    Let profit = x

    Since the ratio of cost prices is given as 3:5, we equate:

    35=x25.534\frac{3}{5} = \frac{x - 25.5} {34}

    3 × 34 = 5 × (x - 25.5)

    102 = 5x - 127.5

    5x = 102 + 127.5

    5x = 229.5

    x = 45.9

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