Question

A, B and C are partners who share their profits in the ratio of their capital. A's capital is ₹ 5,000 and B's
capital is ₹ 25,000. In 1981, profit was ₹ 3,500 in which C's share was ₹ 1,500. Find C's capital.

Answer 1

Given :  A, B and C are partners who share their profits in the ratio of their capital. A's capital is ₹ 5,000 and B's  capital is ₹ 25,000. In 1981, profit was ₹ 3,500 in which C's share was ₹ 1,500.

To find :  C's capital.

Solution:

A's capital is ₹ 5,000

B's  capital is ₹ 25,000

C's  capital is ₹ 1,000C

Total Capital = 5,000 + 25,000 + 1,000C   =  1,000(C + 30)   Rs

C share  = 1,000C/1,000(C + 30)    = 1,500/3,500

=> C/(C + 30)  = 3/7

=> 7C = 3C + 90

=> 4C = 90

=> C = 22.5

=> 1,000C = 22,500

C's  capital is ₹ 22,500C

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