Question

In English exam, the average of Class $A$ was found to be $x$ marks. After deducting a computational error, the average marks of $100$ candidates got reduced from $74$ to $54$. The average thus came down by $25$ marks. The total numbers of candidates who took the English exam were?

Answer 1

Let $x$ be the total numbers of candidates who took the English exam.

According to the question,

$\Rightarrow$ $(74-54)\times 100=25\times x$

$\Rightarrow$ $20\times 100=25x$

$\Rightarrow$ $2000=25x$

$\Rightarrow$ $x=\frac{2000}{25}$

$\Rightarrow$ $x=80$