Question
An object is sold at a 15% gain and the selling price
becomes Rs. 180 more than when it's sold at a 35% loss. Find the cost price of the object.Solution
ATQ,
Let the cost price of the object = Rs. 100x
According to the question,
(100x × 1.15) – (100x × 0.65) = 180
⇒ 115x – 65x = 180
⇒ 50x = 180
⇒ x = 180 ÷ 50 = 3.6
∴ Cost price = 100x = 3.6 × 100 = Rs. 360
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