605 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)11
(b)24
(c)45
(d)Cannot be determined
(e)None of these
Answer
Answer (as printed): A
Explanation
Let the total number of children be $x$. Then, $x \times(20 \%$ of $x)=605$ $$\Rightarrow \quad \frac{1}{5} x^{2}=605 \Rightarrow x^{2}=3025 \Rightarrow x=55 .$$
Explanation as extracted from the printed page; notation may be imperfect.