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    ​Rahim purchased 20 kg of oranges at the rate of ₹45/kg and sold them at the rate of ₹54/kg. During this period 1.5 kg oranges got spoiled. He sold th
    Question

    ​Rahim purchased 20 kg of oranges at the rate of ₹45/kg and sold them at the rate of ₹54/kg. During this period 1.5 kg oranges got spoiled. He sold the spoiled oranges at the rate of ₹10/kg. His net gain or loss percent is:

    A.

    1223\frac{2}{3}% gain

    B.

    14% gain

    C.

    1323\frac{2}{3}​% loss

    D.

    14% loss

    Correct option is A

    Given:

    Purchase rate of oranges = ₹45 per kg

    Selling rate of good oranges = ₹54 per kg

    Spoiled oranges = 1.5 kg

    Selling rate of spoiled oranges = ₹10 per kg

    Total weight of oranges purchased = 20 kg

    Formula Used:

    Total cost price (C.P.) = Purchase price × Quantity purchased.

    Total selling price (S.P.) = Selling price of good oranges + Selling price of spoiled oranges.

    Profit or Loss = S.P. - C.P.

    Profit or Loss Percent = Profit or LossC.P.×100\frac{\text{Profit or Loss}}{\text{C.P.}} \times 100​​

    Solution:

    C.P.=20×45=900\text{C.P.} =20×45=₹900​​

    S.P. (good oranges)=18.5×54=999\text{S.P. (good oranges)} = 18.5 \times 54 = ₹999​​

    S.P. (spoiled oranges)=1.5×10=15\text{S.P. (spoiled oranges)} = 1.5 \times 10 = ₹15​​

    Total S.P.=999+15=1014\text{Total S.P.} = ₹999 + ₹15 = ₹1014​​

    Profit=S.P.C.P.=1014900=114\text{Profit} = \text{S.P.} - \text{C.P.} = 1014 - 900 = ₹114​​

    Profit Percent=114900×100=1223%\text{Profit Percent} = \frac{114}{900} \times 100 = 12\frac{2}{3}\%

    Option (A) is right.

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