Question
A trader gives a discount such that the difference between
marked price and selling price is 50% of the difference between marked price and cost price. If he earns 30% profit and the marked price is Rs. 960, find the cost price.Solution
ATQ,
Let the cost price be Rs. 100x
Selling price = 100x × 1.30 = Rs. 130x
ATQ,
(960 - 130x) = (960 - 100x) × 0.50
⇒ 960 - 130x = 480 - 50x
⇒ 960 - 480 = 130x - 50x
⇒ 480 = 80x
⇒ x = 6
Cost price = 100 × 6 = Rs. 600
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