Respuesta :
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= [tex]\frac{15}{100} \times \$ 40000= \$ 6000.[/tex]
∴ Profit of company A is $6000.
Company B= [tex]\frac{22}{100} \times \$ 10000= \$ 2200[/tex]
∴ Profit of company B is $2200.
Total profit= profit of company A+ profit of company B
⇒[tex]Total\ profit= \$ 6000+\$ 2200[/tex]
∴ Total Profit= [tex]\$ 8200[/tex]
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= [tex]\$ 40000+\$ 10000= \$ 50000[/tex]
∴ Total investment done by the firm is $50000.
Percent of profit= [tex]\frac{Total\ profit}{Total\ investment} \times 100[/tex]
⇒ Percent of profit= [tex]\frac{8200}{50000} \times 100[/tex]
⇒ Percent of profit= [tex]\frac{82}{5} = 16.4\%[/tex]
Hence, 16.4% is the percent profit of the total investment.
