Question

Sunil gets $10$ $\%$ more marks than Akbar. What percentage of marks does Akbar get less than Sunil?

• A. $9$ $\%$
• B. $10$$\%$
• C. $9\frac{1}{11}$ $\%$
• D. $11\frac{1}{9}$ $\%$

Answer 1

The correct option is C $9\frac{1}{11}$ $\%$

Let Akbar get $x$ marks.
Thus, Sunil gets $(x+\frac{10}{100}x)=\frac{110x}{100}=\frac{11x}{10}$ marks.
Percentage of marks of Akbar got less than Sunil's marks $=\frac{(\frac{11x}{10}-x)}{\frac{11x}{10}}\times 100\%$

$=\frac{100}{11}\%$

$=9\frac{1}{11}\%$