Question 24
Ashok started a business with a certain investment. After few months, Bharat joined him investing half amount of Ashok’s initial investment. At the end of the first year, the total profit was divided between them in ratio 3:1. Bharat joined Ashok after
Solution
Let Ashok's investment be 2X. Let Bharat join him after Y months, and his investment is half of Ashok's investment. Let his investment be X.
At the end of the first year, the total profit was divided between them in the ratio of 3:1
=> $$\dfrac{2X\times12}{X\times\left(12-Y\right)}=\dfrac{3}{1}$$
=> $$8=12-Y$$
=> $$Y=4$$ months.
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