Question

Mike needs $30\%$ to pass. If he scored $212$ marks and falls short by $13$ marks, what was the maximum marks he could have got ?

• A. $700$
• B. $750$
• C. $1000$
• D. $225$

Answer 1

Answer: (B)

$750$

If Mike had scored $13$ marks more, he could have scored $30\%$
Therefore, Mike required $212+13=225$ marks
Let the maximum marks be m.
Then $30\%$ of $m$ $=225$
$\Rightarrow \frac{30\times m}{100}=225$
$\Rightarrow m=\frac{225\times 100}{30}$
$\Rightarrow m=\frac{22500}{30}$
$\Rightarrow m=750$