Q. The marked price of a clock is 160 Rs, after two successive discounts a customer buys it for 122.40 Rs. If first discount is 10%, then what would be the second discount:
Answer: 15%
Notes: Given that the list Price = 160 Rs. After 10% discount Selling Price $ = \frac{90}{100}\times 160 = 144 Rs.$ Now, Let the other discount = x% $ \therefore \frac{100-x}{100}\times 144 = 122.40 Rs. $ $ => 100-x = \frac{12240}{144}$ $ => 100 – x = 85$ $ => x = 100 – 85 = 15\%$ Hence option [C] is correct answer.