Question : A shopkeeper purchased an air conditioner for INR 24,000. He marks it for INR 30,000. He sells it to a customer at a discounted price and still earns a profit of 9%. What is the rate of discount given by the shopkeeper to the customer?
Option 1: 10.8%
Option 2: 12.8%
Option 3: 13.8%
Option 4: 14.8%
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Correct Answer: 12.8%
Solution :
Given:
Cost Price = INR $24,000$
Marked Price = INR $30,000$
Profit = $9$%
Selling Price = $\frac{109}{100}×24000=26160$
Discount = Marked Price – Selling Price
⇒ Discount = $30000 - 26160$ = INR $3840$
Discount percentage $=\frac{3840}{30000}×100=12.8$%
Hence, the correct answer is 12.8%.
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