GMAT Question of the Day - Daily to your Mailbox; hard ones only

 It is currently 19 Jan 2019, 08:57

GMAT Club Daily Prep

Thank you for using the timer - this advanced tool can estimate your performance and suggest more practice questions. We have subscribed you to Daily Prep Questions via email.

Customized
for You

we will pick new questions that match your level based on your Timer History

Track

every week, we’ll send you an estimated GMAT score based on your performance

Practice
Pays

we will pick new questions that match your level based on your Timer History

Events & Promotions

Events & Promotions in January
PrevNext
SuMoTuWeThFrSa
303112345
6789101112
13141516171819
20212223242526
272829303112
Open Detailed Calendar
• FREE Quant Workshop by e-GMAT!

January 20, 2019

January 20, 2019

07:00 AM PST

07:00 AM PST

Get personalized insights on how to achieve your Target Quant Score.
• Free GMAT Strategy Webinar

January 19, 2019

January 19, 2019

07:00 AM PST

09:00 AM PST

Aiming to score 760+? Attend this FREE session to learn how to Define your GMAT Strategy, Create your Study Plan and Master the Core Skills to excel on the GMAT.

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

Author Message
TAGS:

Hide Tags

Math Expert
Joined: 02 Sep 2009
Posts: 52294
What is the ratio of the percent decrease from 4 to 1 to the percent  [#permalink]

Show Tags

27 Dec 2017, 00:18
00:00

Difficulty:

25% (medium)

Question Stats:

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

HideShow timer Statistics

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

_________________
examPAL Representative
Joined: 07 Dec 2017
Posts: 868
Re: What is the ratio of the percent decrease from 4 to 1 to the percent  [#permalink]

Show Tags

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

_________________
Manager
Joined: 24 Nov 2016
Posts: 152
What is the ratio of the percent decrease from 4 to 1 to the percent  [#permalink]

Show Tags

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: $$\frac{3}{4}*\frac{10}{3}=\frac{10}{4}=\frac{5}{2}$$

Senior SC Moderator
Joined: 22 May 2016
Posts: 2347
What is the ratio of the percent decrease from 4 to 1 to the percent  [#permalink]

Show Tags

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?
$$\frac{75}{30}=\frac{15}{6} =\frac{5}{2}$$

_________________

Never look down on anybody unless you're helping them up.
--Jesse Jackson

What is the ratio of the percent decrease from 4 to 1 to the percent &nbs [#permalink] 27 Dec 2017, 18:18
Display posts from previous: Sort by
{"found_math": true, "script_math_tex": 0, "script_math_asciimath": 0, "math_annotations": 0, "math_alttext": 0, "mathml": 0, "mathjax_tag": 0, "mathjax_inline_tex": 0, "mathjax_display_tex": 1, "mathjax_asciimath": 0, "img_math": 0, "codecogs_latex": 0, "wp_latex": 0, "mimetex.cgi": 0, "/images/math/codecogs": 0, "mathtex.cgi": 0, "katex": 0, "math-container": 0, "wp-katex-eq": 0, "align": 0, "equation": 0, "x-ck12": 0, "texerror": 0, "url": "https://gmatclub.com/forum/what-is-the-ratio-of-the-percent-decrease-from-4-to-1-to-the-percent-256233.html", "fetch_time": 1547917021000000000, "content_mime_type": "text/html", "warc_filename": "crawl-data/CC-MAIN-2019-04/segments/1547583671342.16/warc/CC-MAIN-20190119160425-20190119182425-00462.warc.gz", "warc_record_offset": 535250573, "warc_record_length": 54772, "token_count": 1279, "char_count": 3893, "score": 4.46875, "int_score": 4, "crawl": "CC-MAIN-2019-04", "snapshot_type": "latest", "language": "en", "language_score": 0.8778787851333618, "file_path": "/sailhome/yjruan/project/latent-lm/data/processed/finemath-4plus/finemath-4plus/train-00009-of-00064.parquet"}