The marked price of a watch is 800 Rs. A shopkeeper gives two successive discounts and sells the watch at 612 Rs. If the first discount is 10%, the second discount is :

The marked price of a watch is 800 Rs. A shopkeeper gives two successive discounts and sells the watch at 612 Rs. If the first discount is 10%, then the second discount is :
[A]10%
[B]12%
[C]15%
[D]20%

15%
Let the second discount be x%.
Then, 90% of (100 – x)% of 800 = 612.
$latex => \frac{90}{100}\times \frac{100-x}{100}\times 800 = 612&s=1$
$latex => 100-x = \frac{612\times 100}{90\times 8} = 85&s=1$
$latex => x = 100-85 = 15\%$
Hence option [C] is correct answer.


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