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What is the ratio of the percent decrease from 4 to 1 to the percent

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What is the ratio of the percent decrease from 4 to 1 to the percent  [#permalink]

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New post 27 Dec 2017, 00:18
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A
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E

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  25% (medium)

Question Stats:

91% (01:01) correct 9% (01:55) wrong based on 26 sessions

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Re: What is the ratio of the percent decrease from 4 to 1 to the percent  [#permalink]

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New post 27 Dec 2017, 01:19
Bunuel wrote:
What is the ratio of the percent decrease from 4 to 1 to the percent decrease from 10 to 7?

A. 1 : 1
B. 5 : 2
C. 4 : 3
D. 15 : 7
E. 25 : 1


We'll take a shortcut to calculation based on properties of ratios.
This is a Logical approach.

Ratios can be multiplied by a number without changing their value.
For example, a ratio of 4:1 is the same as 8:2 and 12:3.
To find the percent decrease from 4 to 1, we'll multiply by 25 to get 100 to 25.
We can SEE that this is a 75% decrease.
Similarly, multiplying 10 to 7 by 10 gives 100 to 70, a 30% decrease.
Therefore our answer is 75:30 = 15:6 = 5:2

(B) is our answer.
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What is the ratio of the percent decrease from 4 to 1 to the percent  [#permalink]

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New post 27 Dec 2017, 17:17
Bunuel wrote:
What is the ratio of the percent decrease from 4 to 1 to the percent decrease from 10 to 7?

A. 1 : 1
B. 5 : 2
C. 4 : 3
D. 15 : 7
E. 25 : 1


Percentage decrease: \(1-\frac{After}{Before}\), so \(1-\frac{1}{4}=\frac{3}{4}=75\)% and \(1-\frac{7}{10}=\frac{3}{10}=30\)%

Ratio: \(\frac{3}{4}*\frac{10}{3}=\frac{10}{4}=\frac{5}{2}\)

(B) is the answer.
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What is the ratio of the percent decrease from 4 to 1 to the percent  [#permalink]

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New post 27 Dec 2017, 18:18
Bunuel wrote:
What is the ratio of the percent decrease from 4 to 1 to the percent decrease from 10 to 7?

A. 1 : 1
B. 5 : 2
C. 4 : 3
D. 15 : 7
E. 25 : 1

Percent change (decrease or increase):

\(\frac{Old-New}{Old} * 100\)

From 4 to 1:
\(\frac{4-1}{4}=\frac{3}{4}= .75 * 100 = 75\) percent

From 10 to 7:
\(\frac{10-7}{10}=\frac{3}{10}=.30 * 100 = 30\) percent

Ratio of first percent decrease to second percent decrease?
\(\frac{75}{30}=\frac{15}{6} =\frac{5}{2}\)

Answer B
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What is the ratio of the percent decrease from 4 to 1 to the percent &nbs [#permalink] 27 Dec 2017, 18:18
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