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:

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:
[A]10%
[B]12%
[C]15%
[D]18%

15%
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.

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