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 the initial price of product P be Rs. x Price after 60% increase = → x × (160/100) = x × (8/5) Then 25% decrease: → x × (8/5) × (75/100) = x × (8/5) × (3/4) Now, price of P : price of Q = 9 : 7 → Difference = Rs. 64 So, x × (8/5) × (3/4) = 9 × (64/2) ⇒ x = 160
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