Answer:
A) $8200.
B) 16.4%
Step-by-step explanation:
Here is the complete question: An investment firm invested in two companies last year. They invested $40,000 in company A and made a profit of 15%. They invested $10,000 in company B and made a profit of 22%.
A) What is the investment firms total profit?
B) What is the percent profit of the total investment?
Given: Company A invested $40000 and made profit of 15%
Company B invested $10000 and made profit of 22%
A) First lets find the profit of company A and B.
Company A= ![\frac{15}{100} \times \$ 40000= \$ 6000.](https://tex.z-dn.net/?f=%5Cfrac%7B15%7D%7B100%7D%20%5Ctimes%20%5C%24%2040000%3D%20%5C%24%206000.)
∴ Profit of company A is $6000.
Company B= ![\frac{22}{100} \times \$ 10000= \$ 2200](https://tex.z-dn.net/?f=%5Cfrac%7B22%7D%7B100%7D%20%5Ctimes%20%5C%24%2010000%3D%20%5C%24%202200)
∴ Profit of company B is $2200.
Total profit= profit of company A+ profit of company B
⇒![Total\ profit= \$ 6000+\$ 2200](https://tex.z-dn.net/?f=Total%5C%20profit%3D%20%5C%24%206000%2B%5C%24%202200)
∴ Total Profit= ![\$ 8200](https://tex.z-dn.net/?f=%5C%24%208200)
Hence, the total profit of investment firm is $8200.
B) Now finding the percentage of total profit made by firm.
Total investment by the firm= ![\$ 40000+\$ 10000= \$ 50000](https://tex.z-dn.net/?f=%5C%24%2040000%2B%5C%24%2010000%3D%20%5C%24%2050000)
∴ Total investment done by the firm is $50000.
Percent of profit= ![\frac{Total\ profit}{Total\ investment} \times 100](https://tex.z-dn.net/?f=%5Cfrac%7BTotal%5C%20profit%7D%7BTotal%5C%20investment%7D%20%5Ctimes%20100)
⇒ Percent of profit= ![\frac{8200}{50000} \times 100](https://tex.z-dn.net/?f=%5Cfrac%7B8200%7D%7B50000%7D%20%5Ctimes%20100)
⇒ Percent of profit= ![\frac{82}{5} = 16.4\%](https://tex.z-dn.net/?f=%5Cfrac%7B82%7D%7B5%7D%20%3D%2016.4%5C%25)
Hence, 16.4% is the percent profit of the total investment.