# At what profit percent must an article be sold so that by selling at half that price, there may be a loss of 30%? Option 1) 25%Option 2) 30%Option 3) 40%Option 4) 42%Option 5) 36%

$\dpi{100} CP = \frac{50}{0.7}$
$\dpi{100} P=100-\left ( \frac{500}{7} \right )=\frac{200}{7}$
$\dpi{100} P\: ^{0}\! /_{0}=\frac{(\frac{200}{7})}{(\frac{500}{7})}=40\: ^{0}\! /_{0}$