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R, S and T started a business by investing Rs. 40000, Rs. 60000 and Rs. _________ respectively. At the end of 4 months, R contributed an ad…

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R, S and T started a business by investing Rs. 40000, Rs. 60000 and Rs. _________ respectively. At the end of 4 months, R contributed an additional capital equal to half of T’s initial capital. T left the business at the end of the 4^th month while R and S invested for the whole year. S’s share from one year profit of Rs. 9200 was Rs. 3600.

ARs. 95000
BRs. 55000
CRs. 50000
DRs. 80000

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Discussion 1

CCommunity15 Jul 2019

Let, T’s investment be Rs. x

Profit sharing ratio between R, S and T at the end of 1st year

⇒ [40000 × 4 + (40000 + x/2) × 8] : [60000 × 12] : [x × 4]

⇒ [480000 + 4x] : 720000 : 4x

S’s share = 720000/(480000 + 4x + 720000 + 4x) × 9200 = 3600

On solving, we get x = Rs. 80000