A, B and C enter into a partnership in the ratio 7⁄2 : 4⁄3 : 6⁄5. After 4 months, A increases his share 50%. If the total profit at the end of one year be Rs. 21,600, then B's share in the profit is:

Rs. 2100
Rs. 2400
Rs. 3600
Rs. 4000

Correct Answer: Rs. 4000

Explanation:

Ratio of initial investments =	❨	7	:	4	:	6	❩	= 105 : 40 : 36.
		2		3		5

Let the initial investments be 105x, 40x and 36x.

∴ A : B : C =	❨	105x x 4 +	150	x 105x x 8	❩	: (40x x 12) : (36x x 12)
			100

= 1680x : 480x : 432x = 35 : 10 : 9.

Hence, B's share = Rs.	❨	21600 x	10	❩	= Rs. 4000.
			54

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