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A shopkeeper bought a refrigerator for Rs. 46500. In order to sell it, he marked its price 40% above the cost price. What maximum discount can he give on the refrigerator so as to earn a profit of atleast 12%?
- A16%
- B18%
- C20%
- D22%
Answer not set
Discussion 1
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CCommunity
Let the maximum discount be ‘d%’
Cost price of refrigerator = Rs. 46500
To earn a profit of 12%,
Selling price = 46500 + 12% of 46500 = 46500 + 5580 = Rs. 52080
Now,
Marked price of refrigerator = (100 + 40)% of 46500 = 1.4 × 46500 = Rs. 65100
Selling price = Marked price – discount = 65100 – d% of 65100
⇒ 52080 = 65100 – 651d
⇒ 651d = 65100 – 52080
⇒ d = 13020/651 = 20
∴ The shopkeeper can give a maximum discount of 20%
Cost price of refrigerator = Rs. 46500
To earn a profit of 12%,
Selling price = 46500 + 12% of 46500 = 46500 + 5580 = Rs. 52080
Now,
Marked price of refrigerator = (100 + 40)% of 46500 = 1.4 × 46500 = Rs. 65100
Selling price = Marked price – discount = 65100 – d% of 65100
⇒ 52080 = 65100 – 651d
⇒ 651d = 65100 – 52080
⇒ d = 13020/651 = 20
∴ The shopkeeper can give a maximum discount of 20%