Question

A person bought an article and sold it at a loss of 15%. If he bought it for 20% less and sold it for Rs. 114 more he would have had profit of 30% . Find the cost price of the article.

Answer 1

Let's say CP was x
SP$=x-15\%$ of $x=x-\frac{15}{100}x=\frac{85x}{100}=0.85x$
If he bought it for 20% less,
CP $=x-20\%$ of $x=x-\frac{20x}{100}=\frac{80x}{100}=0.8x$
New $SP=0.85x+114$
Now gain $=30\%$ of $0.8x$

then $S.P-C.P=gain$
$\Rightarrow 0.85x+114-0.8x=\frac{30}{100}\times 0.8x$
$\Rightarrow 0.05x+114=0.24x$
$\Rightarrow 0.19x=114$
$\Rightarrow x=\frac{114}{0.19}=600$
then CP =Rs. 600