Question: A and B enter into a partnership. A invests Rs. 32000 and also adds Rs. 11000 after 4 months. B withdraws Rs. 2000 at the end of 8 months. At the end of the year both received equal profits. Find the initial investment of B.
Options:
A) Rs. 39000
B) Rs. 42000
C) Rs. 36000
D) Rs. 40000
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Answer:
Correct Answer: D
Solution:
- (d)
Let B’s capital be Rs. x.
Ratio of profits of A and B
$ =[(32000\times 4)+(43000\times 8):[(x\times 8)+(x-2000)\times 4] $
As the profit received by A and B are equal.
$ \therefore $ $ (32000\times 4)+(43000\times 8)=(x\times 8)+(x-2000)\times 4 $
$ \Rightarrow $ $ 8x+4x-8000=128000+344000 $
$ \Rightarrow $ $ 12x=472000+8000 $
$ \Rightarrow $ $ 12x=480000 $
$ \Rightarrow $ $ x=Rs\text{. 40000} $