Question : The profit earned when a painting is sold for INR 1,200 is 15 times the loss incurred when it is sold for INR 240. At what price should the painting be sold to make a profit of 40%?
Option 1: INR 300
Option 2: INR 480
Option 3: INR 420
Option 4: INR 360
Correct Answer: INR 420
Solution : Selling price = INR 1200 Profit = selling price – cost price Profit = 1200 – cost price -----------(i) Selling price = INR 240 Loss = cost price – selling price Loss = cost price – 240 ------------(ii) Profit = 15 × loss ⇒ 1200 – cost price = 15(cost price – 240) ⇒ 1200 – cost price = 15 × cost price – 3600 ⇒ 4800 = 16 × cost price ⇒ Cost price = INR 300 Profit = 40% of cost price = 0.4 × 300 = 120 So, the selling price = cost price + profit = 300 + 120 = INR 420 Hence, the correct answer is INR 420.
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