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

A. 12%

B. 14%

C. 15%

D. 18%

Solution:

Market price of a watch = Rs. 720
After 1^st discount

\begin{aligned} =  90 % of 720 \\ = \frac{90}{100} \times 720 \\ = Rs . 648 \end{aligned}

Cost price of watch = Rs. 550.80
Difference
= 648 - 550.80
= Rs. 97.20

\begin{aligned} 2^{nd} discount \\ = \frac{97.20}{648} \times 100 \\ = \frac{9720}{648} \\ = 15 % \end{aligned}

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