Question

A and B start a business with investment 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 year they earn a profit of Rs. 5080. Find the share of each member in the profit.

• A. A - Rs.1400, B - Rs.1900, C - Rs.1780
• B. A -Rs. 1600, B -Rs. 1800, C -Rs. 1680
• C. A - Rs. 1800, B -Rs. 1500,C -Rs. 1780
• D. None of these

Answer 1

Answer: (B)

A -Rs. 1600, B -Rs. 1800, C -Rs. 1680

A's capital=$5000\times 4+2500\times 8=40000$
B's capital=$4500\times 6+3000\times 6=45000$
C's capital=$7000\times 6=42000$
Ratio of their capital=$40:45:42$
$40+45+42=127$
Total profit=5080
A's profit=$\frac{40}{127}\times 5080=1600Rs.$
B's Profit=$\frac{45}{127}\times 5080=1800Rs.$
C's profit=$\frac{42}{127}\times 5080=1680Rs.$