Question

$405$ toffees are distributed equally among children in such a way that the number of toffees received by each child is $20\%$ of the total number of children. How many toffees did each child get?

• A. $9$
• B. $45$
• C. $18$
• D. $15$

Answer 1

The correct option is A

$9$

Number of toffees $=405$

Let $x$ be the number of children.

Number of sweets each child will get $=\frac{405}{x}$

$20\%ofx=\frac{20}{100}x=0.2x$

According to given condition

$\begin{array}{rcl}\frac{405}{x}& =& 0.2x\\ x^2& =& \frac{405}{0.2}\\ x^2& =& 2025\\ x& =& 45\end{array}$

Number of sweets each child will get $=\frac{405}{x}$

Putting value of $x$.

$=\frac{405}{45}=9$

Hence, option A is correct.