The amount to be divided is 49600.
The ratio of their shares is 1/2:1/3:1/5.


To divide the amount in the given ratio, we need to find a common denominator. The common denominator for 2, 3, and 5 is 30.


To determine the share for each partner, we need to multiply their respective ratios by the common denominator.

• Partner A's share: (1/2) x 30 = 15


• Partner B's share: (1/3) x 30 = 10


• Partner C's share: (1/5) x 30 = 6

To calculate the actual amount for each partner, we need to divide their respective shares by the sum of the ratios and multiply it by the total amount.

• Partner A's actual amount: (15 / (15 + 10 + 6)) x 49600 = 24000


• Partner B's actual amount: (10 / (15 + 10 + 6)) x 49600 = 16000


• Partner C's actual amount: (6 / (15 + 10 + 6)) x 49600 = 9600

To verify the distribution, we can add up the actual amounts for each partner and check if it equals the total amount.

24000 + 16000 + 9600 = 49600

Therefore, the distribution is correct.


Partner A will receive 24000, partner B will receive 16000, and partner C will receive 9600. The total amount of 49600 will be divided among them in the ratio of 1/2:1/3:1/5, respectively.