| A began a business with Rs. 2250 and was joined afterwards by B with Rs. 2700. If the profits at the end of the year were divided in the ratio of 2:1, then after how much time B joined the business? |
A) 5 months
B) 6 months
C) 3 months
D) 7 months
Correct Answer: D
Solution :
| Let B remained in the business for x months. Then, |
| \[A:B=\,\,(2250\times 12):(2700\times x)\] |
| \[\Rightarrow \] \[2:1=(27000:2700x)=(10:x)\] |
| \[\therefore \] \[\frac{10}{x}=\frac{2}{1}\] \[[\because \text{ratio}\,\,\text{of}\,\,\text{profit}\,\,\text{is}\,\,2:1]\] |
| \[\Rightarrow \] \[2x=10\] |
| \[\therefore \] \[x=\frac{10}{2}=5\] |
| Clearly, B joined after \[(12-5)=7\] months. |
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