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 ‘A’ and ‘B’ together be 4x
Therefore, sum invested by ‘A’ = 0.75 × 4x = Rs. 3x
Sum invested by ‘B’ = Rs. x
Total sum invested by ‘A’, ‘B’ and ‘C’ = 3x/0.5 = Rs. 6x
Therefore, sum invested by ‘C’ = 6x – 3x – x = Rs. 2x
Ratio of profit received by ‘A’, ‘B’ and ‘C’
= (3x × 12):(x × 12):(2x × 8) = 9:3:4
Therefore, profit share of ‘A’ and ‘B’, together = 6000 × (12/4) = Rs. 18000
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