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7.Profit and Loss
hard
A trader buys good at $20 \%$ discount on marked price. If he wants to make a profit of $25 \%$ after allowing a discount of $20 \%$, by what percent should his marked price be greater than the original marked price?
A
$15$
B
$65$
C
$25$
D
$20$
Solution
$MP .=100 x$
Discount $=20 \%(100 x)=20 x$
$\Rightarrow$ Amount at which trader buys $=100 x-20 x=80 x$ $CP =80 x$
Profit $=25 \%(80 x)=20 x$
Amount at which trader should sell $=20 x+80 x=100 x$
Let the price at which he marked his price $=y$
$\Rightarrow \frac{y-100 x}{y} \times 100=20$
$4 y=500 x$
$y=125 x$
$\therefore \%$ by which he should mark up $=\frac{125 x-100 x}{100 x}$ $=25 \%$
Standard 13
Quantitative Aptitude
