Profit and Loss | Arithmetic aptitude | Discussion Page

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

A) 25%

B) 36%

C) 40%

D) 42%

E) 52%

Option C

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

$=40$ %

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