28.07.2020

Calculate the percent increase or decrease: original amount: 12, new amount: 15

. 9

Step-by-step answer

15.01.2023, solved by verified expert

Faq

Mathematics
Step-by-step answer
P Answered by PhD

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,

=  \frac{75-45}{45} \times 100 = \frac{30}{45} \times 100= \frac{200}{3} %

In second case original amount = 75

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

=    \frac{75-45}{75} \times 100 = \frac{30}{75} \times 100= \frac{40}{1} %

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

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

Therefore, Option B and F is correct only.

Mathematics
Step-by-step answer
P Answered by Specialist
The ratio of the percent increase is not the same as the percent decrease.The ratio for the percent increase has a smaller denominator than the percent decrease.The original amount for the percent increase is different from the original amount for the percent decrease.

Step-by-step explanation:

From 45 to 75:

We could calculate this using the rule of three. If 45 is 100%, 75 what percentage would be?

75\frac{100\%}{45}=166.67\%

From 75 to 45:

We do the same process, but in the opposite way. If 75 represents 100%, 45 what percentage would be?

45\frac{100\%}{75}=60\%

So, comparing both process we conclude that, both ratios are not the same, we judge this by watching is fraction, and each result. Also, the ratio for the percentage increase has lower denominator (45) than the percentage decrease (75). Lastly, the original amounts in each case is different, the increased started from 45, and the decreased started from 75.

Mathematics
Step-by-step answer
P Answered by Specialist
The ratio of the percent increase is not the same as the percent decrease.The ratio for the percent increase has a smaller denominator than the percent decrease.The original amount for the percent increase is different from the original amount for the percent decrease.

Step-by-step explanation:

From 45 to 75:

We could calculate this using the rule of three. If 45 is 100%, 75 what percentage would be?

75\frac{100\%}{45}=166.67\%

From 75 to 45:

We do the same process, but in the opposite way. If 75 represents 100%, 45 what percentage would be?

45\frac{100\%}{75}=60\%

So, comparing both process we conclude that, both ratios are not the same, we judge this by watching is fraction, and each result. Also, the ratio for the percentage increase has lower denominator (45) than the percentage decrease (75). Lastly, the original amounts in each case is different, the increased started from 45, and the decreased started from 75.

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