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A, B and C enter into a partnership, investing Rs. 6000. A invests Rs. 1000 and B and C in invests in the ratio of 2 : 3. Find the profit of C, when the annual profit is Rs. 2400 ?
Options:
A .  Rs. 600
B .  Rs. 1200
C .  Rs. 1800
D .  Rs. 1950
Answer: Option B
$$\eqalign{
& {\text{investment of A}} = 1000 \cr
& {\text{So, investment of B}} + {\text{C}} \cr
& = {\text{6000}} - 1000 \cr
& = 5000 \cr
& {\text{B}}:{\text{C}} = 5000 \cr
& 2:3 = 2000:3000 \cr} $$
So,
A
  :  
B
  :  
C
1000
:
2000
:
3000
1
:
2
:
3 = 6
$$\eqalign{
& \therefore {\text{Profit of C}} = \frac{3}{6} \times 2400 \cr
& \,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\, = 1200 \cr} $$

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