Three partners A, B, and C start a business together. A invests a certain amount at the start, B invests twice that amount after 6 months, and C invests three times that amount after 8 months. If the total annual profit is Rs. 18,000, what is A’s portion of the profit?

Explanation

Let A’s investment be x. A invests for 12 months, B invests 2x for 6 months, and C invests 3x for 4 months. Their investment-time products are x*12, 2x*6, and 3x*4 respectively, all equal to 12x. Hence, their shares in profit are equal. Therefore, A’s share is one-third of Rs. 18,000, which equals Rs. 6,000.