Question 76

20% discount is offered on an item. By applying a promo code the customer wins 15% cash back. What is the effective discount?

Solution

Let the marked price of item = Rs. $$100x$$

Amount after 20 % discount = $$100x - \frac{20}{100} \times 100x$$

= $$100x - 20x = Rs. 80x$$

Selling price after 15 % cashback = $$80x - \frac{15}{100} \times 80x$$

= $$80x - 12x = Rs. 68x$$

=> Total discounted amount = $$100x - 68x = Rs. 32x$$

$$\therefore$$ Effective discount = $$\frac{32 x}{100 x} \times 100 = 32 \%$$

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