10% discount is offered on an item. By applying a promo code the customer wins 5% cash back. What is the effective discount?
Let the marked price of item = Rs. $$100x$$
Amount after 10Â % discount = $$100x - \frac{10}{100} \times 100x$$
= $$100x - 10x = Rs. 90x$$
Selling price after 5 % cashback = $$90x - \frac{5}{100} \times 90x$$
= $$90x - 4.5x = Rs. 85.5x$$
=> Total discounted amount = $$100x - 85.5x = Rs. 14.5x$$
$$\therefore$$ Effective discount = $$\frac{14.5 x}{100 x} \times 100 = 14.5 \%$$
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