Final answer:
The loss of $10,000 should be shared based on the ratio of their contributions. A should bear $6,000 of the loss, B should bear $4,000 of the loss, and C should not bear any loss.
Step-by-step explanation:
In this case, since the partners did not agree on how to divide profits and losses, the loss of $10,000 should be shared based on the ratio of their contributions.
A contributed $60,000, B contributed $40,000, and C contributed services, which means they did not contribute any monetary amount. To find the ratio, we add the monetary contributions and divide each partner's contribution by the total monetary contribution:
Total = $60,000 + $40,000 = $100,000
Ratio for A = $60,000 / $100,000 = 0.6 or 60%
Ratio for B = $40,000 / $100,000 = 0.4 or 40%
Since C did not contribute any monetary amount, C's ratio would be 0%.
Now, we can calculate the portion of the loss each partner should bear:
Loss for A = 0.6 * $10,000 = $6,000
Loss for B = 0.4 * $10,000 = $4,000
Loss for C = 0 * $10,000 = $0
Therefore, the correct answer is option a. A should bear $6,000 of the loss, B should bear $4,000 of the loss, and C should not bear any loss.