The marked price of a watch was Rs. 720/-. A man bought the same for Rs. 550.80, after getting two successive discount, the first art 10%. What was the second discount rate?

The marked price of a watch was Rs. 720/-. A man bought the same for Rs. 550.80, after getting two successive discount, the first art 10%. What was the second discount rate?
[A]14%
[B]15%
[C]12%
[D]18%

15%
Marked price = Rs. 720
Actual price = Rs. 550.80
First discount = 10%
Let the second discount be x%
Then, we can write 720(1 – 0.10)(1 – 0.01x) = 550.80
=>720 \times 0.9(1 – 0.01x) = 550.80
=>648(1 – 0.01x) = 550.80
=> 1-0.01x=\frac{550.8}{648}
=>0.01x=1-\frac{550.8}{648}
=>x=\frac{1-0.85}{0.01}
=>x=0.15\times 100
=>x=15
Hence option [C] is the right answer.

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