Quantitative Aptitude Ques 1545

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

Show Answer

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} $