Question

The difference in prices when a commodity is sold at a profit of $4\%$ and at a profit of $6\%$ is Rs. $3$. Find the selling prices of the commodity in both the cases.

Answer 1

Let $x$ be C.P

$1^{st}$ case S.P = $x+\frac{4}{100}\left(x\right)$

$=\frac{104}{100}x$

$2^{nd}$ case S.P = $x+\frac{6}{100}\left(x\right)$

$=\frac{106}{100}x$

$\frac{106}{100}x-\frac{104}{100}x=3$ ..... Given

$\frac{2x}{100}=3\Rightarrow x=150$

$1^{st}$ case S.P = $\frac{104}{100}\times 150$

$=Rs156$

$2^{nd}$ case S.P = $\frac{106}{100}\times 150$

$=Rs.159$