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    Question

    ‘X’ sold an item to ‘Y’ at 25% profit, who then

    sold it to ‘Z’ at a profit of Rs. 60. If the difference between cost price of the item for ‘Z’ and cost price for ‘X’ is Rs. 95, then find the profit earned by ‘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 ‘X’ be Rs. 100x

    So, cost price for ‘Y’ = 100x × 1.25 = Rs. 125x

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

    ATQ:

    125x + 60 - 95 = 100x

    Or, 25x = 35

    Or, x = 35 ÷ 25 = 1.4

    So, selling price for ‘X’ = 100 × 1.4 = Rs. 140

    Profit earned by ‘X’ = 140 × 0.25 = Rs. 35

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