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Question:

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

Explanation:

Let Ashok's investment be Rs. 2x, hence Bharat's investment is Rs. x.
Ashok invested for 12 months whereas Bharat invested for say m months.

⇒ $\frac{Profit of Ashok}{Profit of Bharat}$ = $\frac{Investment of Ashok \times Time of Ashok}{Investment of Bharat \times Time of Bharat}$

⇒ $\frac{3}{1}$ = $\frac{2 x \times 12}{x \times m}$

⇒ 3m = 24

⇒ m = 8

∴ If Bharat invested for 8 months it means he invested after 12 - 8 = 4 months of Ashok.

Hence, option (c).

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