Gujarati
Hindi
7.Profit and Loss
hard

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 $17 \% ?$

A

$30$

B

$20$

C

$27$

D

$18$

Solution

Let $M.P.$ $=100 x$

Discounted amount $=10 \%(100 x)=10 x$

$\Rightarrow$ $S.P.$ $=100 x-10 x=90 x$

Let $C.P. =100 y$

Profit $=70 \%(100 y)=17 y$

$\Rightarrow$ $S.P.$ $=100 y+17 y=117 y$

$90 x=117 y$

$x=\frac{13 y}{10}$

$\Rightarrow$ M.P. $=100 \times \frac{13 y}{10}=130 y$

$\because C.P. =100 y$

Mark up $\%$ $=\frac{130 y-100 y}{100 y} \times 100=30 \%$

Standard 13
Quantitative Aptitude

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