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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