A starts a business with capital of Rs 1400 Five months later B joins and further two months later C...........

Quant (SSC) Partnership

A starts a business with capital of Rs.1400.Five months later B joins and further two months later C joins them. What amount of capital is put in by B and C, if the at the end of the year their shares of profit are as 4 : 3 : 2 ?

Rs.1800 and Rs.1680

Rs.1800 and Rs.1600

Rs.1680 and Rs.1800

Rs.1780 and Rs.1680

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Explanation:

Ratio of investment = ratio of Profit
Let B invested Rs.b for 7 months and C invested Rs.c for 5 months

The as per the condition
(1400 × 12) : (b × 7) : (c × 5) = 4:3:2
⇒ 1400 × 12 = 4a
⇒ a = 4200
⇒ b × 7 = 3a = 3 × 4200
⇒ b = Rs.1800
⇒ c × 5 = 2a = 2 × 4200
⇒ c = Rs.1680