Respuesta :
The percentage change to 2 decimal places when a price of £11 is decreased to £8 is 27.27%
How to find how much percent 'a' is of 'b'?
Suppose a number is 'a'
Suppose another number is 'b'
We want to know how much percent of 'b' is 'a'.
Then, it is calculated as:
[tex]\dfrac{a}{b} \times 100[/tex]
(in percentage)
Given that:
- A price is decreased from 11 euros to 8 euros.
- We've to find the percent change
Percent change shows how much percent of the initial amount is changed.
Since we're taking about 'change', so it doesn't matter whether this was a positive change or a negative change.
Percent change = Percent that "absolute difference of 11 and 8" is of "inital price 11"
Absolute difference of 11 and 8 = [tex]|11 - 8| =3[/tex] (in euros)
Initial price is 11 euros.
Then, we get:
Percent change in price = the percent which 3 is of 11.
Let 3 is x% of 11, then we get:
[tex]x = \dfrac{3}{11} \times 100 = 27.27\overline{27}\approx 27.27[/tex]
Thus, percent change in considered price for this case is approximately 27.27%
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