25% discount is offered on an item. By applying a promo code the customer wins 8% cash back. What is the effective discount?
Let the marked price of item = Rs. $$100x$$
Amount after 25 % discount = $$100x - \frac{25}{100} \times 100x$$
= $$100x - 25x = Rs. 75x$$
Selling price after 8 % cashback = $$75x - \frac{8}{100} \times 75x$$
= $$75x - 6x = Rs. 69x$$
=> Total discounted amount = $$100x - 69x = Rs. 31x$$
$$\therefore$$ Effective discount = $$\frac{31 x}{100 x} \times 100 = 31 \%$$
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