A trader marked his goods at 20 % above cost price. He sold half stock at marked price, one quarter

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7.Profit and Loss

hard

A trader marked his goods at $20 \%$ above the cost price. He sold half the stock at the marked price, one quarter at a discount of $20 \%$ on the marked price and the rest at a discount of $40 \%$ on the marked price. His total gain is in $\%$?

A

$2$

B

$4.5$

C

$13.5$

D

$15$

Solution

Here, Total discount on $MP$

$=\left[\frac{1}{2} \times 0+\frac{1}{4} \times 20+\frac{1}{4} \times 40\right] \%$

[where half is sold at $MP,$ one$-$fourth $20\%$ discount, one$-$fourth $40 \%$ discount $]=15 \%$

Now, If $C P$ (assume) $=$ $Rs.$ $x$

then $MP =20 \%$ above $CP = Rs .1 .2 x$

$MP$ after $15 \%$ discount $=85 \%$ of $1.2 x=$ $Rs.$ $1.02 x$

$\operatorname{Gain} \%=\frac{1.02 x-x}{x} \times 100=2 \%$

Standard 13

Quantitative Aptitude

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