Question : Rohit started a business with Rs. 75000 and after some months Simaran joined him with Rs. 60000. If the profit at the end of the year is divided in the ratio 3 : 1, then after how many months did Simran join Rohit?
Option 1: 7
Option 2: 6
Option 3: 8
Option 4: 4
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Correct Answer: 7
Solution : Given: The investment made by Rohit = Rs. 75,000 And investment made by Simran = Rs. 60,000 And the ratio of profits = 3 : 1 Let the time of investment Simran be $t$ months respectively. So, $75000\times 12:60000\times t = 3:1$ ⇒ $\frac{5\times 12}{4t}=\frac{3}{1}$ ⇒ $t$ = 5 months. Since we are talking about investment in a year only, so, after 12 - 5 = 7 months Simran joins Rohit. Hence, the correct answer is 7.
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