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    Question

    The cost price of item ‘Y’ is 75% of item ‘X’. If

    item ‘X’ is sold at a profit of 25% and item ‘Y’ at a loss of 20%, the total profit made is Rs. 60. Find the cost price of item ‘X’.
    A Rs.600 Correct Answer Incorrect Answer
    B Rs.715 Correct Answer Incorrect Answer
    C Rs.635 Correct Answer Incorrect Answer
    D Rs.824 Correct Answer Incorrect Answer
    E None of these Correct Answer Incorrect Answer

    Solution

    ATQ,

    Let the cost price of item ‘X’ = Rs. ‘100z’

    Then, cost price of item ‘Y’ = 100z × 0.75 = Rs. ‘75z’

    Selling price of item ‘X’ = 100z × 1.25 = Rs. ‘125z’

    Selling price of item ‘Y’ = 75z × 0.8 = Rs. ‘60z’

    According to the question,

    (125z + 60z) – (100z + 75z) = 60

    Or, 185z – 175z = 60

    Or, 10z = 60

    Or, z = 60/10 = 6

    So, cost price of item ‘X’ = 100z = 100 × 6 = Rs. 600

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