| A, B and C enter into a partnership. A invests some amount at the beginning, B invests double the amount of A after 6 months and C invests thrice the amount of A after 8 months. If the annual profit be Rs. 54000, find the C's share. |
A) Rs. 3000
B) Rs. 18000
C) Rs. 15000
D) Rs. 21000
Correct Answer: B
Solution :
| Let investment of\[A=x,\] |
| Investment of \[B=2x\] |
| and investment of \[C=3x\] |
| \[\therefore \]As share: B's share: C's share |
| \[=(x\times 12):(2x\times 6):(3x\times 4)\] |
| \[=12x:12x:12x\] |
| \[=1:1:1\] |
| \[\therefore \]C's share \[=\frac{1}{1+1+1}\times 54000\] |
| \[=\frac{1}{3}\times 54000=\text{Rs}\text{. 18000}\] |
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