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A starts business with a capital of Rs. 14000. Five months later B joins and further two months later C joins them. If the profit sharing ratio in the end of year is 4 : 3 : 2, then the money invested by C was ?

a) Rs. 18000
b) Rs. 16800
c) Rs. 18600
d) Rs. 10800

Answer: b
Explanation:
  A   B     C
Amounts invested   14000      
Time (in months) 12   7   5
  168000      

$$\eqalign{ & {\text{Ratio of profits }}4:3:2 \cr & {\text{Let their profits }}4x:3x:2x \cr & 4x = 168000 \cr & x = 42000 \cr & \Rightarrow {\text{Profit share of C}} = 2x \cr & = 2 \times 42000 \cr & = {\text{Rs}}{\text{. 84000}} \cr & \Rightarrow {\text{Capital invested by C}} = \frac{{84000}}{5} \cr & = {\text{Rs. }}16800 \cr} $$

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