Question

$405$ sweets were distributed equally among children in such a way that the number of sweets received by each child is 20% of the total number of children. How many sweets did each child receive?

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

Answer 1

The correct option is A $9$

Total sweets $=405$

Let $x$ be the total children

Number of sweets each children gets $=\frac{405}{x}$

given : $\frac{405}{x}=\frac{20}{100}\times x$

$⟹x^2=2025$

$⟹x=45$

$\therefore$ each child gets $\frac{405}{45}=9$ sweets.