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

It is currently 14 Oct 2019, 03:39

Close

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
Your Progress

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

Not interested in getting valuable practice questions and articles delivered to your email? No problem, unsubscribe here.

Close

Request Expert Reply

Confirm Cancel

Hal bought walnuts at 5 for $1 and apples at 4 for $1.

  new topic post reply Question banks Downloads My Bookmarks Reviews Important topics  
Author Message
TAGS:

Hide Tags

Find Similar Topics 
Veritas Prep GMAT Instructor
User avatar
V
Joined: 16 Oct 2010
Posts: 9697
Location: Pune, India
Re: PERCENTAGES - CONCEPTUAL  [#permalink]

Show Tags

New post 06 Feb 2014, 21:27
3
6
00:00
A
B
C
D
E

Difficulty:

  45% (medium)

Question Stats:

71% (03:08) correct 29% (02:52) wrong based on 120 sessions

HideShow timer Statistics

aimlockfire1 wrote:
Hal bought walnuts at 5 for $1 and apples at 4 for $1.He spent a total of $19.50 . He sells both at 20 for $5 and as a result gains $3 .How many walnuts did Hal buy ?

a)50

b)45

c)60

d)80

e)55


Let's start with the concrete information:
He buys everything for $19.50 and earns $3 after selling so he sells everything for $22.50 (= 2250 cents).
He sells each item for 5/20 = 25 cents so in all he sells 2250/25 = 90 items

Cost of each walnut = 1/5 = $.2 = 20 cents
Cost of each apple = 1/4 = $.25 = 25 cents

Now we have one equation to solve:
20*w + 25*(90 - w) = 1950 (w is the number of walnuts he buys)
4w + 5(90 - w) = 390
w = 60

Answer (C)

_________________
Karishma
Veritas Prep GMAT Instructor

Learn more about how Veritas Prep can help you achieve a great GMAT score by checking out their GMAT Prep Options >
Manager
Manager
avatar
Joined: 19 Apr 2013
Posts: 68
Concentration: Entrepreneurship, Finance
GMAT Date: 06-05-2015
GPA: 3.88
WE: Programming (Computer Software)
GMAT ToolKit User
Re: PERCENTAGES - CONCEPTUAL  [#permalink]

Show Tags

New post 06 Feb 2014, 21:37
aimlockfire1 wrote:
Hal bought walnuts at 5 for $1 and apples at 4 for $1.He spent a total of $19.50 . He sells both at 20 for $5 and as a result gains $3 .How many walnuts did Hal buy ?

a)50

b)45

c)60

d)80

e)55



Let me try this,

5 for $1 and apples at 4 for $1.He spent a total of $19.50 this statement clearly tells that for 0.5 he buys apple(So that quantity can be integer.

Lets go with options : 50 walnuts
10$ Remaining amount -- 9.5 so total apple he buys = 38

total items 50+38 =88 he sells 20 for 5$ mean 4 for 1$
.So he earns == 22 dollors Diffrence 22-19.5 == 2.5 -- Wrong Answer.

2nd options 45 walnuts, 9$ for walnuts
10.5$ for apple 42 apple. so total quantity == 87 if he sells 4 for 1$. 21.75 == Diffrence less than 3$.

3rd choice, 60 walnuts, 12$ for walnuts.
7.5$ for apple -- 30 apples. total 90 if he sells 4 for 1$. 22.5so diffrence == 3$.

4th choice, 80 walnuts, 16$ for walnuts
3.5 for apples 14 apples. 94 total. if sells at 4 per 1$. 23.5 diffrence greater than 3.

5th choice 55 walnuts 11 $ for walnuts.
8.5 for apples, 34 apples. 89 in total. if sells at 4 per 1$. 22.15 diffrence less than 3.

So correct choice is C. :-D :)
Retired Moderator
User avatar
Joined: 20 Dec 2013
Posts: 166
Location: United States (NY)
GMAT 1: 640 Q44 V34
GMAT 2: 710 Q48 V40
GMAT 3: 720 Q49 V40
GPA: 3.16
WE: Consulting (Venture Capital)
GMAT ToolKit User Reviews Badge
Re: PERCENTAGES - CONCEPTUAL  [#permalink]

Show Tags

New post 06 Feb 2014, 22:18
2
Haven't seen too many like this, but given he pays 20cts per walnut and 25cts per apple and sells each at 25cts, he actually makes no profit/loss on the apples, and so they become irrelevant to determine his profit of $3 (as does his cost basis of $19.50, because there is only one possible way for him to profit exactly $3).

@5cts profit per walnut, just need to calculate 3/.05 = 60
_________________
Manager
Manager
avatar
Joined: 04 Oct 2013
Posts: 150
Location: India
GMAT Date: 05-23-2015
GPA: 3.45
GMAT ToolKit User Reviews Badge
Re: Hal bought walnuts at 5 for $1 and apples at 4 for $1.  [#permalink]

Show Tags

New post 08 Feb 2014, 02:44
2
1
Hal bought walnuts at 5 for $1 and apples at 4 for $1. He spent a total of $19.50 . He sells both at 20 for $5 and as a result gains $3 .How many walnuts did Hal buy ?

A. 50
B. 45
C. 60
D. 80
E. 55


Method 1:

Number of Walnuts=W
Number of Apples = A

Given that, Hal bought walnuts at 5 for $1 and apples at 4 for $1 and he spent a total of $19.50

So, \(\frac{W}{5} + \frac{A}{4}=19.5\) .......(1)

Given that, Hal sells both at 20 for $5 and as a result gains $3

So, \((\frac{W}{20})*5 + (\frac{A}{20})*4 = 19.5 + 3\)

Or, \(\frac{W}{4} +\frac{A}{4}= 22.5\) .......(2)

Solving (1) & (2), we get number of walnuts W as 60.

Answer: (C)

Method 2:

Given that, Hal bought walnuts at 5 for $1 and apples at 4 for $1.
Hence, buying price of walnut = 20 cents; buying price of apple = 25 cents

Given that, Hal sells both at 20 for $5 and as a result gains $3
Selling price of walnut or apple= $5/20 = 25 cents

Since, buying and selling price of apple is same, the profit of $3 is made by selling only walnut.
Profit from selling 1 walnut = (25 - 20 )cents= 5 cents
Number of walnut sold to get $3 profit = ($3)/(5 cents) = 60

Answer: (C)
Manager
Manager
avatar
Joined: 21 Oct 2013
Posts: 178
Location: Germany
GMAT 1: 660 Q45 V36
GPA: 3.51
Re: Hal bought walnuts at 5 for $1 and apples at 4 for $1.  [#permalink]

Show Tags

New post 03 Aug 2014, 21:55
1
He buys walnuts at a price of 20 cents each and apples at a price of 25 cents each. He then sells both of them at 25 cent each. This means that the 3$ profit he made result only from the walnuts.
Hence:

Profit = 3 $ = 300 cents / 5 cents = 60.

He bought 60 walnuts. Answer C.
SVP
SVP
User avatar
Status: The Best Or Nothing
Joined: 27 Dec 2012
Posts: 1751
Location: India
Concentration: General Management, Technology
WE: Information Technology (Computer Software)
Re: Hal bought walnuts at 5 for $1 and apples at 4 for $1.  [#permalink]

Show Tags

New post 06 Aug 2014, 21:44
1
Just look at the cost price & selling price of apples. They are same; so no profit is booked by them

They can be ignored in equation formation (One variable less :))

Cost price of 1 walnut \(= \frac{1}{5}\)

Sell price of 1 walnut\(= \frac{1}{4}\)

Profit on 1 walnut\(= \frac{1}{4} - \frac{1}{5} = \frac{1}{20}\)

Total profit earned = 3

So, no. of walnuts sold \(= \frac{3}{\frac{1}{20}} = 20 * 3 = 60\)

Answer = C
_________________
Kindly press "+1 Kudos" to appreciate :)
Intern
Intern
avatar
B
Joined: 30 Nov 2016
Posts: 15
Re: Hal bought walnuts at 5 for $1 and apples at 4 for $1.  [#permalink]

Show Tags

New post 11 Jan 2017, 08:38
VeritasPrepKarishma wrote:
aimlockfire1 wrote:
Hal bought walnuts at 5 for $1 and apples at 4 for $1.He spent a total of $19.50 . He sells both at 20 for $5 and as a result gains $3 .How many walnuts did Hal buy ?

a)50

b)45

c)60

d)80

e)55


Let's start with the concrete information:
He buys everything for $19.50 and earns $3 after selling so he sells everything for $22.50 (= 2250 cents).
He sells each item for 5/20 = 25 cents so in all he sells 2250/25 = 90 items

Cost of each walnut = 1/5 = $.2 = 20 cents
Cost of each apple = 1/4 = $.25 = 25 cents

Now we have one equation to solve:
20*w + 25*(90 - w) = 1950 (w is the number of walnuts he buys)
4w + 5(90 - w) = 390
w = 60

Answer (C)

I don't think the question is clearly stated. "Hal bought walnuts at 5 for $1" is it sufficiently clear? what source is the question from? are you posting an official question?
Veritas Prep GMAT Instructor
User avatar
V
Joined: 16 Oct 2010
Posts: 9697
Location: Pune, India
Re: Hal bought walnuts at 5 for $1 and apples at 4 for $1.  [#permalink]

Show Tags

New post 12 Jan 2017, 01:15
hongson1706 wrote:
VeritasPrepKarishma wrote:
aimlockfire1 wrote:
Hal bought walnuts at 5 for $1 and apples at 4 for $1.He spent a total of $19.50 . He sells both at 20 for $5 and as a result gains $3 .How many walnuts did Hal buy ?

a)50

b)45

c)60

d)80

e)55


Let's start with the concrete information:
He buys everything for $19.50 and earns $3 after selling so he sells everything for $22.50 (= 2250 cents).
He sells each item for 5/20 = 25 cents so in all he sells 2250/25 = 90 items

Cost of each walnut = 1/5 = $.2 = 20 cents
Cost of each apple = 1/4 = $.25 = 25 cents

Now we have one equation to solve:
20*w + 25*(90 - w) = 1950 (w is the number of walnuts he buys)
4w + 5(90 - w) = 390
w = 60

Answer (C)

I don't think the question is clearly stated. "Hal bought walnuts at 5 for $1" is it sufficiently clear? what source is the question from? are you posting an official question?


Yes, the rate is given. It could be in terms of $/cents per walnut or no. of walnuts per dollar. There shouldn't be a problem here.
_________________
Karishma
Veritas Prep GMAT Instructor

Learn more about how Veritas Prep can help you achieve a great GMAT score by checking out their GMAT Prep Options >
Intern
Intern
avatar
B
Joined: 30 Nov 2016
Posts: 15
Re: Hal bought walnuts at 5 for $1 and apples at 4 for $1.  [#permalink]

Show Tags

New post 12 Jan 2017, 07:39
[/quote] Yes, the rate is given. It could be in terms of $/cents per walnut or no. of walnuts per dollar. There shouldn't be a problem here.[/quote]
it should be more clearly stated, "Hal bought 5 walnuts for $1", if you say "Hal bought walnuts at 5 for $1", is it correctly written in formal English? honestly I've never seen such an idiom.
Intern
Intern
avatar
B
Joined: 04 May 2014
Posts: 11
Hal bought walnuts at 5 for $1 and apples at 4 for $1.  [#permalink]

Show Tags

New post 30 May 2019, 07:53
bumpbot wrote:
Hello from the GMAT Club BumpBot!

Thanks to another GMAT Club member, I have just discovered this valuable topic, yet it had no discussion for over a year. I am now bumping it up - doing my job. I think you may find it valuable (esp those replies with Kudos).

Want to see all other topics I dig out? Follow me (click follow button on profile). You will receive a summary of all topics I bump in your profile area as well as via email.


Each walnut costs: 20 c
Each apple costs: 25 c

At the time of selling
Each item sells at: 500/20 --> 25 c
So, in a way, no profit is being earned on selling apples. CP=SP
So, the total profit of 300 c is being earned on selling walnuts.
Profit on each walnut= 25-20=5c
No. of walnuts=Total profit/ profit on each walnut=300/5=60
Intern
Intern
avatar
B
Joined: 29 Jan 2019
Posts: 11
Re: Hal bought walnuts at 5 for $1 and apples at 4 for $1.  [#permalink]

Show Tags

New post 30 May 2019, 08:21
The word'both' is misleading in this question. It should have been 'each'

Posted from my mobile device
Intern
Intern
avatar
B
Joined: 31 May 2018
Posts: 9
Re: Hal bought walnuts at 5 for $1 and apples at 4 for $1.  [#permalink]

Show Tags

New post 31 May 2019, 00:27
I answered this question in 2:09 using plug in numbers. It felt the easiest and most tangible. I began with 5/$1= 20 cents/walnut and 4/$1 = 25 cent apples. I then took the total of $19.50 and added the profit of $3 to it to get $22.50.

From there I began with answer choice C to see what answer I would get.
- 60 walnuts * 20 cents each is $12.
- I know he spent $19.50 so I took 19.5-12=7.5
- Then I used that $7.50 towards apples. 7.50/25. (Or in this case, for quick math, I did 4 per dollar so 4x7=28+2=30 (the extra +2 was for the 50 cents))
-60 walnuts + 30 apples is 90 total items and he sold those at 20/$5. 20 goes into 80 4 times very quickly ($20 earnings) and leaves us with 10, or half of the $5 earnings left over. Add 20+2.50 and that’s the right answer!

I was lucky that c worked. If I started getting funny or hard to work with numbers I would have tried an easier answer choice to start off. Also, if it wasn’t C, I would know how far off I was and would move to either A or E depending on where I landed.

Hope this makes sense!

Posted from my mobile device
GMAT Club Bot
Re: Hal bought walnuts at 5 for $1 and apples at 4 for $1.   [#permalink] 31 May 2019, 00:27
Display posts from previous: Sort by

Hal bought walnuts at 5 for $1 and apples at 4 for $1.

  new topic post reply Question banks Downloads My Bookmarks Reviews Important topics  





Powered by phpBB © phpBB Group | Emoji artwork provided by EmojiOne