Discussion Forum

At what profit percent must an article be sold so that by selling at half that price, there may be a loss of 30% ?

Answer:

Explanation:

Let S.P = Rs. $x$. New S.P = Rs. $\frac{x}{2}$, Loss = 30%.

So, C.P = Rs. $\left(\frac{100}{70}\times\frac{x}{2}\right)$

$=$ Rs. $\frac{5x}{7}$.

Profit = Rs. $\left(x-\frac{5x}{7}\right)$ = Rs. $\frac{2x}{7}$

$\therefore$ Profit% $=\left(\frac{2x}{7}\times\frac{7}{5x}\times 100\right)$%

$=40$%