Question : 10% discount is offered on an item. By applying a promo code, the customer wins 5% cash back. What is the effective discount?
Option 1: 15.225%
Option 2: 14.5%
Option 3: 15%
Option 4: 5.5%
Correct Answer: 14.5%
Solution :
Let the marked price be Rs. 100.
Discount = 10%
Selling price = 90% of marked price = 90% of Rs. 100 = Rs. 90
Amount discounted = Rs. 100 – Rs. 90 = Rs. 10
Cashback = 5% of Selling price
Amount got as cashback = 5% of Rs 90 = $\frac{5 × 90}{100}$ = Rs. 4.5
Total amount discounted = Rs. 10 + Rs. 4.5 = Rs. 14.5
Effective discount = $\frac{14.5 × 100}{100}$ = 14.5%
Hence, the correct answer is 14.5%.
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