Question
"A" and "B" initiated a partnership with investments in
the proportion of 3:4. After four months, "C" entered the partnership by contributing Rs. 75,000. By the year's end, the profit was allocated among "A", "B", and "C" in the ratios of 3:4:5, respectively. Determine the initial investment amount made by "B".Solution
Let the sum invested by 'A' and 'B' be Rs. '3x' and Rs. '4x', respectively. Ratio of profit shares of 'A', 'B' and 'C', respectively, at the end of the year: = (3x X 12) :(4x X 12) :(75000 X 8) = 3x:4x:50000 ATQ; (4x/50000) = (4/5) Or, 'x' = 10000 So, sum invested by 'B' = Rs. '4x' = 4 X 10000 = Rs. 40,000
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