Partnership Q25

25.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.

[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] A - Rs. 1680, B - Rs. 16000, C - Rs. 1800

[E] None of these

Answer : [B]
Explanation :

A : B : C = (5000 x 4 + 2500 x 8) : (4500 x 6 + 3000 x 6) : (7000 x 6)

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

A's share = Rs. 5080 x 40 127  = Rs. 1600;

B's share = Rs. 5080 x 45 127  = Rs. 1800;

C's share = Rs. 5080 x 42 127  = Rs. 1680.