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The list price of a watch is $₹ 160 .$ A retailer bought the same watch $₹ 122.40 .$ He got two successive discounts one at 10% and the other at a rate which was not legible. What is the second discount rate?

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12%

14%

15%

18%

answer is C.

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Detailed Solution

Retailer price = list price $(1 - \frac{d_{1}}{100}) (1 - \frac{d_{2}}{100})$

$\begin{array}{l} \Rightarrow 122.40 = 160 (1 - \frac{10}{100}) (1 - \frac{d_{2}}{100}) \\ \Rightarrow 1 - \frac{d_{2}}{100} = \frac{122.40 \times 100}{160 \times 90} = 0.85 \\ \Rightarrow d_{2} = (1 - 0.85) \times 100 = 15 % \end{array}$

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