Question
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 = ?
Answer: Option D
$$\eqalign{
& {\text{Let the cost price = Rs}}{\text{. 100}} \cr
& {\text{Selling price }} \cr
& {\text{ = 117}}\% {\text{ of 100 }} \cr
& {\text{ = Rs}}{\text{. 117}} \cr
& {\text{Marked price}} \cr
& {\text{ = 117}} \times \frac{{100}}{{90}}{\text{ }} \cr
& {\text{ = Rs}}{\text{. 130}} \cr
& {\text{Marked price above }}\% \cr
& = \frac{{130 - 100}}{{100}} \times 100\% \cr
& = 30\% \cr} $$
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$$\eqalign{
& {\text{Let the cost price = Rs}}{\text{. 100}} \cr
& {\text{Selling price }} \cr
& {\text{ = 117}}\% {\text{ of 100 }} \cr
& {\text{ = Rs}}{\text{. 117}} \cr
& {\text{Marked price}} \cr
& {\text{ = 117}} \times \frac{{100}}{{90}}{\text{ }} \cr
& {\text{ = Rs}}{\text{. 130}} \cr
& {\text{Marked price above }}\% \cr
& = \frac{{130 - 100}}{{100}} \times 100\% \cr
& = 30\% \cr} $$
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