Final answer:
The total profit yielded by the business was approximately 162,857.17, calculated by determining the value of a single part of the profit (8,571.43) and then multiplying it by the total number of parts in the profit-sharing ratio (19 parts).
Step-by-step explanation:
To determine how much profit the business yielded, we can first understand that the profit is split into parts that correspond to the ratio 3:7:9 for Wanjiru, Atieno, and Jeptoo, respectively. If Atieno received 60,000, that amount represents 7 parts of the entire profit since the ratio given is 3:7:9. We can calculate one part of the profit and then find the total profit.
First, we divide Atieno's profit by the number of parts she received:
- Atieno's profit: 60,000 (7 parts)
- Value of one part: 60,000 / 7 = 8,571.43 (rounded to two decimal places)
Then, we add up all the parts of the ratio (3 for Wanjiru, 7 for Atieno, and 9 for Jeptoo), which equals 19 parts:
Total parts in the ratio = 3 + 7 + 9 = 19
Finally, we calculate the total profit by multiplying the value of one part by the total number of parts:
Total profit = 8,571.43 * 19 = 162,857.17 (rounded to two decimal places)
Therefore, the total profit yielded by the business was approximately 162,857.17.