Question

If a sum of money is divided equally among $n$ children, each child will receive $\$ 60 $. If another child is added to the group, and the sum is divided equally among all the children, each child receives a$ $50$ share. What is the sum of money?

A.
$3000$
B.
$300$
C.
$110$
D.
$10$

Accepted Answer

B. Let total sum of money be $S$. $S = 60n$. When 1 child is added, $n+1$ children get $\$50$ each: $S = 50(n + 1)$. $60n = 50n + 50 \Rightarrow 10n = 50 \Rightarrow n = 5$. Total sum $S = 60 	imes 5 = \$300$.

Dividing Money Among Children

Explanation

Practise this under exam conditions