Question 84

Rohit started a business with Rs 75000 and after some months Simran 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?

Solution

Rohit invested Rs. 75,000 for 12 months and Simran invested Rs. 60,000 for $$x$$ months

=> Ratio of profits of P:Q = $$(75,000\times12):(60,000\times x)$$

According to ques,

=> $$\frac{75}{5x}=\frac{3}{1}$$

=> $$5x\times3=75$$

=> $$x=\frac{75}{15}=5$$

Thus, Simran joined Rohit after = $$12-5=7$$ months

=> Ans - (A)

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