A, B and C enter into a partnership in the ratio $$\frac{7}{2}$$ : $$\frac{4}{3}$$ : $$\frac{6}{5}$$. 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
Solution(By Examveda Team)
Ratio of initial investments$$\eqalign{ & = {\frac{7}{2}:\frac{4}{3}:\frac{6}{5}} \cr & = 105:40:36 \cr} $$
Let the initial investments be 105x, 40x and 36x
$$\left( {105x \times 4 + \frac{{150}}{{100}} \times 105x \times 8} \right)$$ $$:$$ $$\left( {40x \times 12} \right)$$ $$:$$ $$\left( {36x \times 12} \right)$$
$$\eqalign{ & = 1680x:480x:432x \cr & = 35:10:9 \cr & {\text{Hence,}}{\kern 1pt} {\text{B's}}{\kern 1pt} {\text{share}} \cr & = {\text{Rs}}{\text{.}}\left( {21600 \times \frac{{10}}{{54}}} \right) \cr & = {\text{Rs}}{\text{.}}\,4000 \cr} $$
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Comments ( 1 )
Related Questions on Partnership
A. 5 : 7 : 8
B. 20 : 49 : 64
C. 38 : 28 : 21
D. None of these
A. Rs. 40000
B. Rs. 50000
C. Rs. 60000
D. Rs. 70000
(105x×4+150/100×105x×8)
please explain....