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- Quantitative Aptitude
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