Question
βAβ and βBβ started a business by investing Rs.
7,000 and Rs. 8,000, respectively. 6 months later, βCβ joined them with an investment equal to average of initial investment made by βAβ and βBβ together. If at the end of the year, Bβs profit share out of the total profit was Rs. 40,000, then find the profit share of βCβ.Solution
ATQ; Amount invested by βCβ = [(7000 + 8000)/2] = Rs. 7,500 Profit shares of βAβ, βBβ and βCβ, respectively at the end of the year = [(7000 Γ 12): (8000 Γ 12):(7500 Γ 6)] = 28:32:15 Let the total profit received by βAβ, Bβ and βCβ at the end of the year be Rs. βPβ Profit share of βBβ = 40000 = (32/75) Γ P => P = 40000 Γ (75/32) = 93750 Profit share of βCβ = 93750 Γ (15/75) = Rs. 18750
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