Discussion Forum

A and B start a business with investments of Rs. 5000 and Rs. 4500 respectively. After 4 months, A takes out half of his capital. After two more months, B takes out one-third of his capital while C joins them with a capital of Rs. 7000. At the end of a year, they earn a profit of Rs. 5080. Find the share of each member in the profit.

Answer:

Explanation:

$A:B:C$ $=\left(5000\times 4+2500\times 8\right)$ $:\left(4500\times 6+3000\times 6\right)$ $:\left(7000\times 6\right)$

$=40000:45000:42000$ $=40:45:42$.

A's share = Rs. $5080\times\frac{40}{127}$ = Rs. 1600.

B's share = Rs. $5080\times\frac{45}{127}$ = Rs. 1800.

C's share = Rs. $5080\times\frac{42}{127}$ = Rs. 1680.