A and B started a business by investing ₹ 35000 and ₹ 20000, respectively. After 5 months B left the business and C joined the business with a sum of ₹ 15000. The profit earned at the end of year is ₹ 84125. What is the share of B in profit?

₹ 14133
₹ 15000
₹ 13460
Couldn't be determined

Correct Answer: ₹ 13460

Explanation:

Ratio of equivalent capitals of A, B and C = (35000 x 12) : (20000 x 5) : (15000 x 7)
= 35 x 12 : 20 x 5 : 15 x 7
= 84 : 20 : 21
Let A's share = 84N
B's share = 20N
C's share = 21N
According to the question,
84N + 20N + 21N = 84125
⇒ 125N = 84125
⇒ N = 84125/125 = 673
∴ B's share = 20N = (20 x 673) = ₹ 13460

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