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    ​The cost price of 120 g of rice is the same as the selling price of 150 g of it. The percentage loss is:​
    Question

    The cost price of 120 g of rice is the same as the selling price of 150 g of it. The percentage loss is:

    A.

    12.5% loss


    B.

    20% loss


    C.

    15% loss


    D.

    ​25% loss​

    Correct option is B

    Given:

    The cost price (C.P.) of 120 g of rice is equal to the selling price (S.P.) of 150 g of rice.

    Formula Used:

    Percentage Loss=LossCost Price×100\text{Percentage Loss} = \frac{\text{Loss}}{\text{Cost Price}} \times 100​​

    Solution:

    Let the C.P. of 120 g = S.P. of 150 g = x.

    C.P. of 1 g = x120\frac{x}{120}  and    S.P. of 1 g =x150 \frac{x}{150}​​

    Loss per gram=x120x150\text{Loss per gram} = \frac{x}{120} - \frac{x}{150}=x600. = \frac{x}{600}.​​​

    Percentage Loss=x600x120×100=120600×100=20%.\text{Percentage Loss} = \frac{\frac{x}{600}}{\frac{x}{120}} \times 100 = \frac{120}{600} \times 100 = 20\%.

    Option (b) is right.

    Alternate Method:

    Loss percentage = 150120150×\frac{150-120}{150} \times​100 = 20%

    Option (b) is right.

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