| 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 |
A) 4
B) 2
C) 3
D) 1
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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