Question : An article costs Rs.4,000 to a shopkeeper, who marks its price at Rs.8,400. The shopkeeper sells it to a customer at a discount of 25%. The customer gets a further discount of 15% on the discounted price if the customer redeems a coupon issued by the store previously. What is the profit percentage (to the nearest integer) earned by the shopkeeper in this transaction?
Option 1: 34%
Option 2: 51%
Option 3: 42%
Option 4: 36%
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Correct Answer: 34%
Solution : Given, The cost for a shopkeeper = Rs. 4,000 Marked Price = Rs. 8,400 Discount A = 25%. Discount B = 15% ⇒ Final discount percentage $= 25 + 15 - \frac{25 \times 15}{100} = 36.25$% And, Selling price of the article = $8400 \times (1 - 36.25$)% = Rs. 5355 Now, Profit percentage = $\frac{5355 - 4000}{4000}\times 100 = 34$% Hence, the correct answer is 34%.
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