Question

In an examination Mohit obtained $20\%$ more marks than Sushant but are $10\%$ less than Rajesh. If the marks obtained by Sushant are $1080$, find the percentage of marks obtained by Rajech if the full marks are $2000$.

• A. $72\%$
• B. $86.66\%$
• C. $78.33\%$
• D. $75\%$

Answer 1

The correct option is A $72\%$

Sushant's marks $=1080$ Mohit's marks $=\frac{120}{100}\times 1080=1296$
Let Rajesh's marks be $x$

Then $\frac{90x}{100}=1296$

$\Rightarrow x=\frac{1296\times 100}{90}$

$\Rightarrow x=1440$
$\therefore$ Percentage of Rajesh's marks $=\frac{1440}{2000}\times 100\%=72\%$