Why is the percent increase of 45 to 75 not equal to the percentage crease of 75 to 45 check all that apply.

A: the amount of change is different for the percent increase and the percent decrease
B: The ratio of the percent increase is not the same as the percent decrease
C: The ratio for the percent increase has a different nominator them the percent increase
D: The ratio for the percent increase has a different numerator then the percent decrease
E: The ratio of the percent increase is the same as the percent decrease F: the original amount of the present increase is different from the original amount for the persons decrease

Respuesta :

Answer: B and F

Step-by-step explanation:

Since, In the first case original amount = 45

So, the increasing percentage when the original amount increases to 75,

=  [tex]\frac{75-45}{45} \times 100 = \frac{30}{45} \times 100= \frac{200}{3}[/tex] %

In second case original amount = 75

So the decreasing percentage when the original amount decreases to 45,

=    [tex]\frac{75-45}{75} \times 100 = \frac{30}{75} \times 100= \frac{40}{1}[/tex] %

Thus, We found that the ratio of the percent increase is not the same as the percent decrease ( because,   [tex]\frac{200}{3}\neq \frac{40}{1}[/tex]

Also, The original amount of the present increase is different from the original amount for the persons decrease. ( Because, [tex]75\neq 45[/tex]

Therefore, Option B and F is correct only.



Answers are B, C, and E