In a partnership A invests 1/6 of the capital for 1/6 of

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In a partnership A invests 1/6 of the capital for 1/6 of the time, B invests 1/3 of the capital for 1/3 of the time and C, the rest of the capital for the whole time. Out of a profit of Rs. 4,600 B's share is ?

1. Rs. 800
2. Rs. 1000
3. Rs. 650
4. Rs. 960

Correct Option: A

Suppose A invests Rs. N/6 for M/ 6 months. B invests Rs. N/3 for M/3 months and C invests Rs. [N - (N/6 + N/3)]
For M months.
Ratio of their investment = (N/6 x M/6) : (N/3 x M/3) : (N / 2NM)
= 1/36 : 1/9 : 1/2 = 1 : 4 : 18
∴ B's share = Rs. 4600 x (4/23) = Rs. 800