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    A manufacturer fixes his selling price at 30% over the cost of production. If the cost of production goes up by 30%, and the manufacturer raises
    Question

    A manufacturer fixes his selling price at 30% over the cost of production. If the cost of production goes up by 30%, and the manufacturer raises his selling price by 70%, find the profit percentage.​

    A.

    70%

    B.

    73%

    C.

    69%

    D.

    71%

    Correct option is A

    Given:

    Initial selling price = 30% above cost

    Cost increases by 30%

    Selling price increases by 70%

    Formula Used:

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

    Solution: 

    Let original cost price (CP) = ₹100

    Then original selling price (SP) = ₹100 + 30% of 100 = ₹130

    New CP = ₹100 + 30% of 100 = ₹130

    New SP = ₹130 + 70% of 130 = ₹130 × 1.70 = ₹221

    New CP = ₹130

    New SP = ₹221

    Profit = 221 - 130 = ₹91

    Profit % = 91130×100=70%\frac{91}{130} \times 100 = 70\%​​

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