Question
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 ?
Answer: Option B
A
B
C
Amounts invested
14000
Time (in months)
12
7
5
168000
$$\eqalign{
& {\text{Ratio of profits }}4:3:2 \cr
& {\text{Let their profits }}4x:3x:2x \cr
& \Leftrightarrow 4x = 168000 \cr
& \Leftrightarrow x = 42000 \cr
& \Rightarrow {\text{Profit share of C}} \cr
& = 2x \cr
& = 2 \times 42000 \cr
& = {\text{Rs}}{\text{. 84000}} \cr
& \Rightarrow {\text{Capital invested by C}} \cr
& = \frac{{84000}}{5} \cr
& = {\text{Rs. }}16800 \cr} $$
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A
B
C
Amounts invested
14000
Time (in months)
12
7
5
168000
$$\eqalign{
& {\text{Ratio of profits }}4:3:2 \cr
& {\text{Let their profits }}4x:3x:2x \cr
& \Leftrightarrow 4x = 168000 \cr
& \Leftrightarrow x = 42000 \cr
& \Rightarrow {\text{Profit share of C}} \cr
& = 2x \cr
& = 2 \times 42000 \cr
& = {\text{Rs}}{\text{. 84000}} \cr
& \Rightarrow {\text{Capital invested by C}} \cr
& = \frac{{84000}}{5} \cr
& = {\text{Rs. }}16800 \cr} $$
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