Question

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

Answer 1

Answers are B, C, and E

Answer 2

Answer: B and F

Explanation:

Since, In the first case original amount = 45

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

=
`(75-45)/(45) * 100 = (30)/(45) * 100= (200)/(3)` %

In second case original amount = 75

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

=
`(75-45)/(75) * 100 = (30)/(75) * 100= (40)/(1)` %

Thus, We found that the ratio of the percent increase is not the same as the percent decrease ( because,
`(200)/(3)\\eq (40)/(1)`

Also, The original amount of the present increase is different from the original amount for the persons decrease. ( Because,
`75\\eq 45`

Therefore, Option B and F is correct only.