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    The cost price of a car was ₹1,50,000. It was sold by X at a profit of 5% to Y. It was later sold back to X by Y at a 1% loss. Find X's profit in the
    Question

    The cost price of a car was ₹1,50,000. It was sold by X at a profit of 5% to Y. It was later sold back to X by Y at a 1% loss. Find X's profit in the entire transaction.

    A.

    ₹4,000

    B.

    ₹1,575

    C.

    ₹4,500

    D.

    ₹3,150

    Correct option is B

    Given:

    Cost Price of car for X = ₹1,50,000

    X sells to Y at 5% profit

    Y sells back to X at 1% loss

    Solution:
    X sells to Y at 5% profit:

    SP = 150000×1.05=1,57,50000 \times 1.05 = ₹1,57,500

    Y sells it back to X at 1% loss:

    SP = 157500×0.99=1,55,925 \times 0.99 = ₹1,55,925

    X’s Net Profit = X received ₹1,57,500 and paid ₹1,55,925

    Profit = 157500 - 155925 = ₹1,575 

    Confusion Point : 

    X has already ₹157500 after selling at 5% profit 

    Now he use this money while purchasing back;

    So, profit = 157500 - 155925 = ₹1,575 

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