Question

If a commission of $10\%$ is given on the written price of an article, the gain is $20\%$. If the commission is increased to $20\%$, the gain is

• A. $6\frac{2}{3}\%$
• B. $7\frac{1}{4}\%$
• C. $12\frac{1}{2}\%$
• D. $13\frac{1}{3}\%$

Answer 1

The correct option is A $6\frac{2}{3}\%$

List price $=Rs100$ commission $10\%$

$SP=90Rs$ Gain $28\%$

$CPRs(\frac{100}{120}\times 90)=0.75$

$SP=Rs80$

New gain $\%=\frac{5}{75}\times 100=6\frac{2}{3}$

$=\frac{20}{3}\%$