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1. A merchant allows a discount of 10% on marked price for the cash payment. To make a profit of 17%, he must mark his goods higher than their cost price by = ?

A. 33%

B. 40%

C. 27%

D. 30%

Solution:

\begin{aligned} Let the cost price  =  Rs . 100 \\ Selling price \\ =  117 % of 100 \\ =  Rs . 117 \\ Marked price \\ =  117 \times \frac{100}{90} \\ =  Rs . 130 \\ Marked price above % \\ = \frac{130 - 100}{100} \times 100 % \\ = 30 % \end{aligned}

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