A starts business with $ 3500/- and after 5 months, B joins

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A starts business with $ 3500/- and after 5 months, B joins with A as his partner. After a year, the profit is divided in the ratio 2 : 3. What is B’s contribution in the capital?

1. $ 8000/-
2. $ 8500/-
3. $ 9000/-
4. $ 7500/-

Correct Option: C

As per the given question ,
A’s investment of $ 3500 is for 12 months
Let B’s investment be p for 7 months only.
At the end of the year the profit is divided in the ratio 2 : 3 and it must be equal to the ratio of the product, (Amount × time)
Here , T₁ = 12 months , A₁ = $ 3500 , T₂ = 7 months , A₂ = $ p

T₁ × A₁	= Ratio of Profit
T₂ × A₂

⇒	12 × 3500	=	2
	7p		3

⇒ p =		12 × 3500	×	3
		7		2

or p = 9000
∴ B’s investment is $ 9000.