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

12400

Given = A invested Rs. 29,000, while B and C invested Rs. 25,000 each

After 4 months, A withdrew Rs. 3,000

After 6 months from the initial date, C invested Rs. 12,000 more to the business

The total profit = Rs. 33200

The ratio of A, B, and C = [(29000 × 4) + (26000 × 8)] : (25000 × 12) : [(25000 × 6) + (37000 × 6)]

= (116000 + 208000) : 300000 : (150000 + 222000)

= 324000 : 300000 : 372000

= 27 : 25 : 31

∴ The profit of C = (\(\frac{31}{83}\) ) × 33200 = Rs. 12400