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    Question

    The average Cost Price of two items P and Q is Rs. 500.

    P and Q are sold at 15% and 25% profit respectively. If the total Selling Price of P and Q is Rs. 1,185, then find the Cost Price of Q.
    A Rs.220 Correct Answer Incorrect Answer
    B Rs.350 Correct Answer Incorrect Answer
    C Rs.385 Correct Answer Incorrect Answer
    D Rs.475 Correct Answer Incorrect Answer
    E None of these Correct Answer Incorrect Answer

    Solution

    Total CP of P and Q together = 500 × 2 = Rs. 1,000
    Let CP of P = x ⇒ CP of Q = (1,000 – x)
    ATQ:
    115% of x + 125% of (1,000 – x) = 1,185
    1.15x + 1,250 – 1.25x = 1,185
    –0.10x = –65
    x = 650
    CP of Q = 1,000 – 650 = Rs. 350

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