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A, B and C enter into a partnership in the ratio $\Large\frac{7}{2}: \frac{4}{3}: \frac{6}{5}$. After 4 months, A increases his share 50%. If the total profit at the end of one year be Rs. 21,600, then B’s share in the profit is:

A. Rs. 2100 B. Rs. 2400 C. Rs. 3600 D. Rs. 4000 Answer: Option D
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Solution(By Apex Team)

Ratio of initial investments $\begin{array}{l} =\Large\frac{7}{2}: \frac{4}{3}: \frac{6}{5} \\ =105: 40: 36 \end{array}$ Let the initial investments be 105x, 40x and 36x $\begin{aligned}&\left(105x\times4+\frac{150}{100}\times105x\times8\right):(40x\times12):(36x\times12)\\ &=1680x:480x:432x\\ &=35:10:9\end{aligned}$ $\begin{aligned}&\text{Hence, B’s share}\\ &=\text{ Rs. }\left(21600\times\frac{10}{54}\right)\\ &=\text{ Rs. }4000\end{aligned}$

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