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

 It is currently 25 Mar 2019, 07:38

### 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

# Carlos decreased his daily caloric intake by 20%, and Carol increased

Author Message
TAGS:

### Hide Tags

SVP
Joined: 12 Dec 2016
Posts: 1544
Location: United States
GMAT 1: 700 Q49 V33
GPA: 3.64
Carlos decreased his daily caloric intake by 20%, and Carol increased  [#permalink]

### Show Tags

13 Jan 2018, 17:22
1
00:00

Difficulty:

45% (medium)

Question Stats:

68% (01:56) correct 32% (02:10) wrong based on 51 sessions

### HideShow timer Statistics

Carlos decreased his daily caloric intake by 20%, and Carol increased her daily caloric intake by 20%. If they both now consume the same number of calories, how much percent greater was Carlos’s original caloric intake than that of Carol?

A. 33⅓
B. 37%
C. 40%
D. 48%
E. 50%
Intern
Joined: 31 Dec 2017
Posts: 28
Concentration: Finance
Re: Carlos decreased his daily caloric intake by 20%, and Carol increased  [#permalink]

### Show Tags

13 Jan 2018, 18:17
2
chesstitans wrote:
Carlos decreased his daily caloric intake by 20%, and Carol increased her daily caloric intake by 20%. If they both now consume the same number of calories, how much percent greater was Carlos’s original caloric intake than that of Carol?

33⅓
37%
40%
48%
50%

Carlos' original caloric intake be $$x$$, and Carol's be $$y$$.

$$0.8x = 1.2y$$

$$x = \frac{1.2y}{0.8} = \frac{(1.2-0.8)y}{0.8} = 50\%$$
Board of Directors
Status: QA & VA Forum Moderator
Joined: 11 Jun 2011
Posts: 4404
Location: India
GPA: 3.5
Re: Carlos decreased his daily caloric intake by 20%, and Carol increased  [#permalink]

### Show Tags

14 Jan 2018, 00:52
chesstitans wrote:
Carlos decreased his daily caloric intake by 20%, and Carol increased her daily caloric intake by 20%. If they both now consume the same number of calories, how much percent greater was Carlos’s original caloric intake than that of Carol?

A. 33⅓
B. 37%
C. 40%
D. 48%
E. 50%

Let both consume 100 units now...

So, 100 units now is 80% of his previous consumption ; thus previous consumption was 125 units...
Again, 100 units now is 120% of his previous consumption ; thus previous consumption was 83.33 units...

Thus, Carlos’s original caloric intake was $$\frac{(125 - 83.33)}{125}*100$$ = 33⅓ %, hence answer will be (A)
_________________
Thanks and Regards

Abhishek....

PLEASE FOLLOW THE RULES FOR POSTING IN QA AND VA FORUM AND USE SEARCH FUNCTION BEFORE POSTING NEW QUESTIONS

How to use Search Function in GMAT Club | Rules for Posting in QA forum | Writing Mathematical Formulas |Rules for Posting in VA forum | Request Expert's Reply ( VA Forum Only )
Math Expert
Joined: 02 Aug 2009
Posts: 7444
Re: Carlos decreased his daily caloric intake by 20%, and Carol increased  [#permalink]

### Show Tags

14 Jan 2018, 04:55
Abhishek009 wrote:

Let both consume 100 units now...

So, 100 units now is 80% of his previous consumption ; thus previous consumption was 125 units...
Again, 100 units now is 120% of his previous consumption ; thus previous consumption was 83.33 units...

Thus, Carlos’s original caloric intake was $$\frac{(125 - 83.33)}{125}*100$$ = 33⅓ %, hence answer will be (A)

hi..
you have gone wrong with the BASE... IT will be 83.33 and not 125

chesstitans wrote:
Carlos decreased his daily caloric intake by 20%, and Carol increased her daily caloric intake by 20%. If they both now consume the same number of calories, how much percent greater was Carlos’s original caloric intake than that of Carol?

A. 33⅓
B. 37%
C. 40%
D. 48%
E. 50%

Always try to pick smart numbers.... here it can be 120...
so Carlos decreased his daily caloric intake by 20%,
$$\frac{80}{100}x=120.......x=120*\frac{100}{80} = 150$$

and Carol increased her daily caloric intake by 20%
$$\frac{120}{100}y=120.......y=120*\frac{100}{120} = 100$$

Increase % = $$\frac{150-100}{100}*100=50$$%
E
_________________
Manager
Joined: 21 Jul 2014
Posts: 66
GMAT Date: 07-30-2015
Re: Carlos decreased his daily caloric intake by 20%, and Carol increased  [#permalink]

### Show Tags

10 Mar 2018, 04:58
chetan2u wrote:
Abhishek009 wrote:

Let both consume 100 units now...

So, 100 units now is 80% of his previous consumption ; thus previous consumption was 125 units...
Again, 100 units now is 120% of his previous consumption ; thus previous consumption was 83.33 units...

Thus, Carlos’s original caloric intake was $$\frac{(125 - 83.33)}{125}*100$$ = 33⅓ %, hence answer will be (A)

hi..
you have gone wrong with the BASE... IT will be 83.33 and not 125

chesstitans wrote:
Carlos decreased his daily caloric intake by 20%, and Carol increased her daily caloric intake by 20%. If they both now consume the same number of calories, how much percent greater was Carlos’s original caloric intake than that of Carol?

A. 33⅓
B. 37%
C. 40%
D. 48%
E. 50%

Always try to pick smart numbers.... here it can be 120...
so Carlos decreased his daily caloric intake by 20%,
$$\frac{80}{100}x=120.......x=120*\frac{100}{80} = 150$$

and Carol increased her daily caloric intake by 20%
$$\frac{120}{100}y=120.......y=120*\frac{100}{120} = 100$$

Increase % = $$\frac{150-100}{100}*100=50$$%
E

Sir chetan2u
How did you decide the smart number to be 120. I took 100, which involved a little more calculations.
Re: Carlos decreased his daily caloric intake by 20%, and Carol increased   [#permalink] 10 Mar 2018, 04:58
Display posts from previous: Sort by