Question
'A' initially invested 75% of the total capital in a
business. After 4 months, 'C' joined, and at that point, 'A's investment became 50% of the total capital. If 'C's share of the total profit was Rs. 6,000, determine the combined profit share of 'A' and 'B'.Solution
Let, the sum invested by βAβ and βBβ together be 4x
Therefore, sum invested by βAβ = 0.75 Γ 4x = Rs. 3x
Sum invested by βBβ = Rs. x
Total sum invested by βAβ, βBβ and βCβ = 3x/0.5 = Rs. 6x
Therefore, sum invested by βCβ = 6x β 3x β x = Rs. 2x
Ratio of profit received by βAβ, βBβ and βCβ
= (3x Γ 12):(x Γ 12):(2x Γ 8) = 9:3:4
Therefore, profit share of βAβ and βBβ, together = 6000 Γ (12/4) = Rs. 18000
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