Question

An investor has an account with stock from two different companies. Last year, her stock in Company A was worth $4150 and her stock in Company B was worth $6820. The stock in Company A has increased 6% since last year and the stock in Company B has increased 5%. What was the total percentage increase in the investor's stock account? Round your answer to the nearest tenth (if necessary).

Answer 1

Answer: The required percentage would be 5.4%.

Step-by-step explanation:

Since we have given that

Worth of Company A = $4150

Worth of Company B = $6820

So, increase in Company A = 6%

increase in Company B = 5%

According to question, it becomes,

$0.06\times 4150+0.05\times 6820\\\\=249+341\\\\=590$

So, the total percentage increase in the investor's stock account would be

$\dfrac{590}{4150+6820}\times 100\\\\=\dfrac{590}{10970}\times 100\\\\=5.378\%$

Hence, the required percentage would be 5.4%.