A, B and C start a business with each investing Rs. 20,000. After 5 months, A withdrew Rs. 6,000, B withdrew Rs. 4,000 and C invested an additional Rs. 6,000. At the end of the year, a total profit of Rs. 69,900 was recorded. Find the share of each

Rs. 20,400, Rs. 20,500, Rs. 18,700
Rs. 21,500, Rs. 22,600, Rs. 21,700
Rs. 20,500, Rs. 21,200, Rs. 28,200
Rs. 21,900, Rs. 22,700, Rs. 27,300

The correct answer is: D. Rs. 21,900, Rs. 22,700, Rs. 27,300.

A, B and C invested Rs. 20,000 each for 5 months. A withdrew Rs. 6,000 after 5 months, so he invested Rs. 20,000 – Rs. 6,000 = Rs. 14,000 for the remaining 7 months. B withdrew Rs. 4,000 after 5 months, so he invested Rs. 20,000 – Rs. 4,000 = Rs. 16,000 for the remaining 7 months. C invested an additional Rs. 6,000 after 5 months, so he invested Rs. 20,000 + Rs. 6,000 = Rs. 26,000 for the remaining 7 months.

The ratio of the investments of A, B and C is:

14,000 * 7 : 16,000 * 7 : 26,000 * 7 = 98 : 112 : 182 = 49 : 56 : 91.

The share of each in the total profit of Rs. 69,900 is:

A = 69,900 * 49/292 = Rs. 21,900
B = 69,900 * 56/292 = Rs. 22,700
C = 69,900 * 91/292 = Rs. 27,300.