A, B and C Are in Partnership. A'S Capital Was ~ 65,000, - Mathematics and Statistics

Sum

A, B and C are in partnership. A's capital was  ₹ 65,000, C's capital was  ₹ 50,000. The total profit is ₹ 38,000, out of which B's profit is ₹ 15,000. What was B's capital ?

Solution

Let B's capital (in thousand) = x

∴ 65 : x : 50 is the ratio of A, B, C's investment

∴ Ratio of profit is also 65 : x : 50

Total profit -=  ₹ 38,000

therefore  "x"/(65 + "x" + 50) xx 38000 = 15000

therefore  "38x"/(115 + "x") = 15

38x = 15 x 115 + 15x

∴ 23x = 15 x 115

therefore  "x" = (15 xx 115)/23 = 75

∵ x is in thousand,

∴ B's capital is  ₹ 75,000

Concept: Ratio, Proportion and Partnership
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