A shopkeeper sold some article at rate of Rs., 35 per article and earned profit of 40 % . At what pr

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7.Profit and Loss

hard

A shopkeeper sold some article at the rate of $Rs.\, 35$ per article and earned profit of $40 \% .$ At what price each article should have been sold so that profit of $60 \%$ was earned. in$Rs.$

A

$45$

B

$42$

C

$39$

D

$40$

Solution

Here initially $SP$ of some article $= Rs. 35$

Profit$\%$ $=40 \%$

Now, finally $SP$ of articles $=$ Rs. $x$

Profit$\%$ $=60 \%$

Here, $CP$ is same in each case

$\Rightarrow \quad(C P)_{1}=(C P)_{2}$

$\Rightarrow \frac{( SP )_{1}}{100+ P _{1} \%}=\frac{( SP )_{2}}{100+ P _{2} \%}, \frac{35}{140}=\frac{ x }{160}, x = Rs .40$

Standard 13

Quantitative Aptitude

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