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Question
A, B, and C enter into a partnership. A invests 3 times as much as B invests and B invests two-thirds of what ‘C’ invests. At the end of the year, the profit earned is Rs. 8800. What is the share of ‘B’?
Solution
Let ‘a’, ‘b’, and ‘c’ be the amounts invested by A, B, and C respectively.
Given that, A invests 3 times as much as B and B invests two-thirds of what ‘C’ invests.
∴ a = 3b and b = `2/3`c
∴ `"a"/"b" = 3/1` and `"b"/"c" = 2/3`
Or `"a"/"b" = 6/2` and `"b"/"c" = 2/3`
∴ a : b = 6 : 2 and b : c = 2 : 3
∴ a : b : c = 6 : 2 : 3
Given that profit earned = ₹ 8800
∴ Share of ‘B’ in profit = `2/11 xx 8800 = ₹ 1600`
∴ B’share in profit is ₹ 1600.
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