Respuesta :
Answer:
Overall percent change of stock is increase by 16.3%
Step-by-step explanation:
Given:
A stock increases in value by 55%
Then the value decreases by 25%
To find the overall percent change of the stock.
Solution:
Let the initial value of the stock be = $100
Increase in value by 55% will be = [tex]0.55\times \$100=\$55[/tex]
The new value after increase = [tex]\$100+\$55=\$155[/tex]
Decrease in value of 25% will be = [tex]0.25\times \$155=\$38.75[/tex]
New value after decrease = [tex]\$155-\$38.75= \$116.25[/tex]
Overall change in value = [tex]\$116.25-\$100=\$16.25[/tex]
The over all percent change can be given as:
⇒ [tex]\frac{Change\ in\ value}{Original\ value}\times 100[/tex]
⇒ [tex]\frac{\$16.25}{\$100}\times 100[/tex]
⇒ [tex]16.25\%\approx 16.3\%[/tex]
Overall percent change of stock is increase by 16.3%
