| 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. |
A) Rs. 39000
B) Rs. 42000
C) Rs. 36000
D) Rs. 40000
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. |
| \[\therefore \]\[(32000\times 4)+(43000\times 8)=(x\times 8)+(x-2000)\times 4\] |
| \[\Rightarrow \]\[8x+4x-8000=128000+344000\] |
| \[\Rightarrow \]\[12x=472000+8000\] |
| \[\Rightarrow \]\[12x=480000\] |
| \[\Rightarrow \]\[x=\text{Rs}\text{. 40000}\] |
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