The over all percent increase in Bill's stock over the two days is 4%
Step-by-step explanation:
The given is:
We need to find what was the overall percent increase in Bill's stock over the two days
Assume that Bill buys the stock by $x
∵ Bill buys the stock by $x
∵ The stock decreases by 20% on the first day
- Find the 20% of x
∵ 20% × x = [tex]\frac{20}{100}[/tex] × x = 0.2 x
∴ The cost at the end of the 1st day = x - 0.2 x = 0.8 x
∵ The stock increases by 30% of its value at the end of the 1st day
- Find the 30% of 0.8 x
∵ 30% × 0.8 x = [tex]\frac{30}{100}[/tex] × 0.8 x = 0.3 × 0.8 x = 0.24 x
∴ The cost at the end of the 2nd day = 0.8 x + 0.24 x = 1.04 x
To find the percentage of increased find the increasing amount and divide it by the original cost, then multiply the quotient by 100%
∵ The increasing amount = 1.04 x - x = 0.04 x
∵ The percentage of increase = [tex]\frac{0.04x}{x}[/tex] × 100%
∴ The percentage of increase = 0.04 × 100% = 4%
The over all percent increase in Bill's stock over the two days is 4%
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You can learn more about the percentage in brainly.com/question/12960754
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