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(A) Let the marked price $(M.P.)$ be $100$.Since a discount of $10 \%$ is allowed,the selling price $(S.P.)$ is $100 - 10 = 90$.We want a profit of $1

Vedclass · Accepted Answer

$30$

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(A) Let the marked price $(M.P.)$ be $100$.Since a discount of $10 \%$ is allowed,the selling price $(S.P.)$ is $100 - 10 = 90$.We want a profit of $17 \%$,so the selling price must be $117 \%$ of the cost price $(C.P.)$.$S.P. = 1.17 	imes C.P.$$90 = 1.17 	imes C.P.$$C.P. = \frac{90}{1.17} = \frac{9000}{117} \approx 76.92$.Alternatively,using the formula: $M.P. = C.P. 	imes \frac{100 + 	ext{Profit } \%}{100 - 	ext{Discount } \%}$.$M.P. = C.P. 	imes \frac{100 + 17}{100 - 10} = C.P. 	imes \frac{117}{90} = C.P. 	imes 1.3$.This means the marked price is $130 \%$ of the cost price.Therefore,the goods must be marked $30 \%$ above the cost price.

$A$ businessman allows a discount of $10 \%$ on the marked price. What percent above the cost price must he mark his goods to make a profit of $17 \% ?$

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