A,B and C enter into a partnership in the ratio \(\frac72:\frac43:\frac65\) After 4 months, A increases his share by 50%. If the total profit at the end of one year be Rs. 21600, then B's share in the profit is :
Solution
Correct Answer: Option A
Given ratio of initial investments = \(\frac72:\frac43:\frac65\) = 105 : 40 : 36.
Let the initial investments be 105x, 40x and 36x.
\(\therefore A:B:C\;=\;\left(105x\times4\;+\;\frac{150}{100}\times105x\times8\right)\;:\;\left(40x\times12\right)\;:\;\left(36x\times12\right)\)
= 1680x : 480x : 432x = 35 : 10 : 9.
Hence, B's share = \(\left(21600\times\frac{10}{54}\right)\) = Rs. 4000.
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