Question

An Article is sold at a certain price. By selling it at 2/3 of that price one loses 10%. The gain percent at original price is

• A. 20%
• B. $33\frac{1}{3}\%$
• C. 35%
• D. 40%

Answer 1

The correct option is C 35%

Let original S.P. be Rs. x,
$NewS.P.=\frac{2}{3}x,loss=10\%$

$\therefore C.P.=(\frac{100}{90}\times \frac{2}{3}x)=\frac{20x}{27}$

$New,C.P.=\frac{20x}{27},$
S.P. = Rs, x,

$Gain=(x-\frac{20x}{27})=\frac{7x}{27}$

$\therefore$ $Gain\%=(\frac{7x}{27}\times \frac{27}{20x}\times 100)\%$
= 35%.