Question: 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.
Options:
A) Rs. 3000
B) Rs. 18000
C) Rs. 15000
D) Rs. 21000
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Answer:
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=Rs\text{. 18000} $