A, B and C started a business in partnership. Initially, A invested Rs. 29,000, while B and C invested Rs. 25,000 each. After 4 months, A withdrew Rs. 3,000. After 2 more months, C invested Rs. 12,000 more. Find the share of C (in Rs.) in the profit of Rs. 33,200 at end of the year.

Solution (By Examveda Team)

\[\begin{array}{*{20}{c}} {\text{A}}&{}&{\text{B}}&{}&{\text{C}} \\ {29,000}&{}&{25,000}&{}&{25,000} \\ {29}&{}&{25}&{}&{25} \\ {\left( {29 \times 4 + 26 \times 8} \right)}&{}&{\left( {25 \times 12} \right)}&{}&{\left( {25 \times 6 + 37 \times 6} \right)} \\ {81}&:&{75}&:&{93} \\ {27}&:&{25}&:&{31} \end{array}\]
$$\eqalign{ & 83\,{\text{unit}} \to 33,200 \cr & 1{\text{ unit}} \to \frac{{33,200}}{{83}} \cr & 31\,{\text{unit}} \to \frac{{33,200}}{{83}} \times 31 \cr & = {\text{Rs}}{\text{. }}12,400{\text{ Answer}} \cr} $$