Discussion Forum



1)

A man buys an article for 10% less than its value and sells it for 10% more than its value. His gain or loss percent is :


A) no profit, no loss

B) 20% profit

C) less than 20% profit

D) more than 20% profit

E) more than 20% profit

Answer:

Option D

Explanation:

Let the article be worth Rs. $x$.

C.P = 90% of Rs. $x$ = Rs. $\frac{9x}{10}$;

S.P = 110% of Rs. $x$ = Rs. $\frac{11x}{10}$.

Gain = Rs. $\left(\frac{11x}{10}-\frac{9x}{10}\right)$

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

$\therefore$ Gain% $=\left(\frac{x}{5}\times\frac{10}{9x}\times100\right)$%

$=22\frac{2}{9}$% $>20$%.