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    Question

    β€˜X’ sold an item to β€˜Y’ at 25% profit, who then

    sold it to β€˜Z’ at a profit of Rs. 60. If the difference between cost price of the item for β€˜Z’ and cost price for β€˜X’ is Rs. 95, then find the profit earned by β€˜X’.
    A 78 Correct Answer Incorrect Answer
    B 59 Correct Answer Incorrect Answer
    C 35 Correct Answer Incorrect Answer
    D 39 Correct Answer Incorrect Answer
    E None of these Correct Answer Incorrect Answer

    Solution

    ATQ,

    Let the cost price of the item for β€˜X’ be Rs. 100x

    So, cost price for β€˜Y’ = 100x Γ— 1.25 = Rs. 125x

    So, cost price for β€˜Z’ = Rs. (125x + 60)

    ATQ:

    125x + 60 - 95 = 100x

    Or, 25x = 35

    Or, x = 35 Γ· 25 = 1.4

    So, selling price for β€˜X’ = 100 Γ— 1.4 = Rs. 140

    Profit earned by β€˜X’ = 140 Γ— 0.25 = Rs. 35

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