A, B and C are partners in a business with a total capital of ₹33,000. The profit at the end of the year is ₹15,000 that is to be divided in proportion to their capitals. A receives ₹4,500 and B receives ₹5,500 as their shares in profit. Find C's capital (in ₹).

Correct option is D

Given:

Total Capital of A, B, and C = ₹33,000

Total Profit at the end of the year = ₹15,000

A's share in profit = ₹4,500

B's share in profit = ₹5,500

Solution:

Total Profit = A's profit + B's profit + C's profit

₹15,000 = ₹4,500 + ₹5,500 + C's profit

₹15,000 = ₹10,000 + C's profit

C's profit = ₹15,000 - ₹10,000

C's profit = ₹5,000

Fraction of C's profit =$$\frac{\text{ C's profit }}{\text{ Total Profit}}$$​​

Fraction of C's profit = $$\frac{₹5,000 }{ ₹15,000}=\frac 13$$​​

C's capital = (Fraction of C's profit) $$\times$$​ Total Capital

C's capital = $$\frac 13 \times$$​ ₹33,000

C's capital = ₹11,000

Therefore, C's capital is ₹11,000.