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

 It is currently 18 Oct 2019, 21:35

### 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

# Brianna is using part of the money she earned on her weekend job to bu

Author Message
TAGS:

### Hide Tags

Math Expert
Joined: 02 Sep 2009
Posts: 58453
Brianna is using part of the money she earned on her weekend job to bu  [#permalink]

### Show Tags

24 Mar 2019, 22:43
00:00

Difficulty:

5% (low)

Question Stats:

97% (01:12) correct 3% (01:00) wrong based on 33 sessions

### HideShow timer Statistics

Brianna is using part of the money she earned on her weekend job to buy several equally-priced CDs. She used one ﬁfth of her money to buy one third of the CDs. What fraction of her money will she have left after she buys all the CDs?

(A) 1/5
(B) 1/3
(C) 2/5
(D) 2/3
(E) 4/5

_________________
Manager
Joined: 05 Oct 2017
Posts: 101
Location: India
Schools: ISB '21, IIMA , IIMB
GPA: 4
WE: Analyst (Energy and Utilities)
Re: Brianna is using part of the money she earned on her weekend job to bu  [#permalink]

### Show Tags

24 Mar 2019, 23:18
Bunuel wrote:
Brianna is using part of the money she earned on her weekend job to buy several equally-priced CDs. She used one ﬁfth of her money to buy one third of the CDs. What fraction of her money will she have left after she buys all the CDs?

(A) 1/5
(B) 1/3
(C) 2/5
(D) 2/3
(E) 4/5

Let she earns "m" amount of money and buys total "c" no of CD's.

So she spent m/5 amount for buying c/3 no. of CD's

Cost of a CD = (m/5)/(c/3) = 3m/5c

Remaining no of CD's to be bought = c-c/3 = 2c/3

Total amount of money that will be spent for buying m=remaining CD's = 2c/3 * 3m/5c =2m/5

Total amount of money spend = 2m/5 + m/5 = 3m/5

Money left = m-3m/5 = 2m/5.

Fraction of money left = (2m/5)/m = 2/5

GMAT Club Legend
Joined: 18 Aug 2017
Posts: 5020
Location: India
Concentration: Sustainability, Marketing
GPA: 4
WE: Marketing (Energy and Utilities)
Re: Brianna is using part of the money she earned on her weekend job to bu  [#permalink]

### Show Tags

24 Mar 2019, 23:52
Bunuel wrote:
Brianna is using part of the money she earned on her weekend job to buy several equally-priced CDs. She used one ﬁfth of her money to buy one third of the CDs. What fraction of her money will she have left after she buys all the CDs?

(A) 1/5
(B) 1/3
(C) 2/5
(D) 2/3
(E) 4/5

let total salary = 15
and CD= 9
so 1/5th of salary = 3
and CD purchased = 9 /3 = 3
so cost per CD = 1\$
now balance salary left = 15-3 = 12 \$
and balance CD left = 9-3 = 6
so after she buys all 6 Cd which are priced at 1\$ each ; money left = 6\$
so the fraction of money left / total salary = 6/15 = 2/5
IMO C
Senior Manager
Joined: 18 Jan 2018
Posts: 307
Location: India
Concentration: General Management, Healthcare
Schools: Booth '22, ISB '21, IIMB
GPA: 3.87
WE: Design (Manufacturing)
Re: Brianna is using part of the money she earned on her weekend job to bu  [#permalink]

### Show Tags

25 Mar 2019, 22:41
lets say she earned x dollars , bought y cds
bought y/3 cds for x/5 dollars
==> y cds for 3x/5 dollars
amount left with = x- (3x/5) = 2x/5
Fraction of money left = (2x/5) /x = 2/5 => option C
Re: Brianna is using part of the money she earned on her weekend job to bu   [#permalink] 25 Mar 2019, 22:41
Display posts from previous: Sort by