Question

On selling an article for rs 1400 a person incurred loss of 30% for how much price it sould to be sold to gain 50%

Answer 1

the answer is 25% because when u sold to 50 % the price will half

Answer 2

Let the cost price be = x
$profit \: = \frac{selling \: price \: - cost \: price}{cost \: price} \times 100 \\ \\ 30\% = \frac{1400 - x}{x} \\ \\ = 30x\% \: = 1400 - x \\ \frac{31x}{100} \: = 1400 \\ x = \frac{140 \times 100}{31} = 4516 \\ \\ \\ using \: x \\ 50 = \frac{sp - 4516}{sp} \times 100 \\ 50sp \: = 100sp \: - 451600 \\ 50sp \: = 451600 \\ sp \: = 90300rs$
using x