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

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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 ?

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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 

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2014-2015 (October)

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