Question

Sudesh sells an article at $8\%$ gain. Had he sold it $Rs.12less$, he would have gained $5\%$. Find the cost price of the article.

Answer 1

Let C.P be x

$\therefore S.P=108\%$ of x

$=\frac{108}{100}\times x=\left(\frac{27x}{25}\right)Rs$

Now $S.P=(\frac{27x}{25}-12)Rs$

Also New $SP=105\%$ of x

$=\frac{21x}{20}$

$\therefore \frac{27x}{25}-12=\frac{21x}{20}$

$\therefore 108x-1200=105x$

$\therefore 3x=1200$

$\therefore x=\frac{1200}{3}=400Rs$

CP = 400 Rs