Quantitative Aptitude Ques 1481

Question: A and B start a business with. investments of Rs. 36000 and Rs. 48000, respectively. After x months, A leaves the business. After 2x more months, B leaves the .business and A reinvests his earlier capital. If at the end of the year the ratio of their profit is 1: 2, then find the value of x

Options:

A) 4

B) 2

C) 3

D) 1

Show Answer

Answer:

Correct Answer: C

Solution:

  • $ A:B=(36000\times x)+[36000\times $ $ (12-3x)]:(48000\times 3x) $ $ =36000\times (x+12-3x):48000\times 3x $ $ =36000(12-2x):48000\times 3x=(6-x):2x $ But $ (6-x):2x=1:2 $

$ \Rightarrow $ $ \frac{6-x}{2x}=\frac{1}{2} $
$ \Rightarrow $ $ \frac{6-x}{x}=1 $ $ 2x=6 $
$ \Rightarrow $ $ x=3 $

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