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    Question

    The price of a product P was increased by 60% and then

    decreased by 25%. After these changes, the prices of products P and Q are in the ratio 9:7. If the difference between their prices is Rs. 64, what was the initial price of product P?
    A Rs.240 Correct Answer Incorrect Answer
    B Rs.200 Correct Answer Incorrect Answer
    C Rs.114 Correct Answer Incorrect Answer
    D Rs.195 Correct Answer Incorrect Answer

    Solution

    ATQ,

    Let initial price of P = x After +60% and -25% → final price = 1.6x × 0.75 = 1.2x Given ratio P:Q = 9:7 and difference = 64 ⇒ 2 parts = 64 ⇒ 1 part = 32 ⇒ P(final) = 9×32 = 288 So 1.2x = 288 ⇒ x = 240 Initial price of P = Rs. 240

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