Question

If $55\%$ of the teachers in a school are gents and the number of lady teachers in the school is $90$, then the total number of teachers in the school is:

Answer 1

Let the number of teachers in the school be $x$.

$\because$ Percentage of gents teachers $=55\%$

$\therefore$ Percentage of lady teachers $=(100-55)\%=45\%$

According to question, Number of lady teacher $=90$

$\Rightarrow 45\%$ of $x=90$

$\Rightarrow \frac{45x}{100}=90\Rightarrow x=\frac{90\times 100}{45}=200$