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    A merchant sells 120 metres of cloth and gains the selling price of 27 metres. Find the gain percentage (rounded off to the nearest integer).
    Question

    A merchant sells 120 metres of cloth and gains the selling price of 27 metres. Find the gain percentage (rounded off to the nearest integer).

    A.

    32%

    B.

    26%

    C.

    29%

    D.

    30%

    Correct option is C

    Given:

    Cloth sold = 120 metres

    Profit = Selling price of 27 metres

    Formula Used:

    Gain % =ProfitCost Price×100\frac{\text{Profit}}{\text{Cost Price}}\times 100​​

    Solution:

    Profit = Selling price of 27 metres

    Cost price of 120 metres = Selling price of 120 metres - Profit

    Cost price = Selling price of 120 metres - Selling price of 27 metres

    Cost price = Selling price of (120 - 27) metres

    Cost price = Selling price of 93 metres

    Gain percentage = Selling price of 27 metres Selling price of 93 metres\frac{\text{Selling price of 27 metres} }{\text{ Selling price of 93 metres}}​ × 100

    Gain percentage =2793 \frac{27} { 93}​× 100

    Gain percentage ≈ 29%

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