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?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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