A and B started a business by investing ₹10,000 and ₹18,000 respectively. After 4 months C joined the business with a capital of ₹12,000. After two more months B left the business with his capital. At the end of the year A got a share of ₹7,500 in the profit. What is the total profit earned?

₹20250

The weighted investments are:

A-10000×12 = 120

B-18000×6 = 108

C-12000×8 = 96

Ratio of their profit =120:108:96 = 10:9:8

Since A's profit at the end of year = 7500

So, 10/27 of total profit = 7500

∴Total profit earned =27/10×7500 = 210250

The correct answer is Option (3) → ₹20250