A, B, and C invest Rs. 2000, Rs. 3000, and Rs. 4000 respectively in a business. After one year, A withdraws his investment, while B and C continue the business for an additional year. If the total profit after two years amounts to Rs. 3200, what is A’s portion of the profit?

Explanation

The investments multiplied by the time they were invested give the ratios of their shares: A invested Rs. 2000 for 1 year (2000*1 = 2000), B invested Rs. 3000 for 2 years (3000*2 = 6000), and C invested Rs. 4000 for 2 years (4000*2 = 8000). The ratio of their investments is 2000:6000:8000, which simplifies to 1:3:4. Therefore, A’s share is 1/8 of the total profit. Calculating 1/8 of Rs. 3200 gives Rs. 400.