NEW HERE? LEARN MORE
closeclose
Last visit was: 26 Apr 2024, 00:31 It is currently 26 Apr 2024, 00:31
Decision Tracker
My Rewards
New posts
New comers' posts

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.
Go to My Error Log Learn more
Close
Request Expert Reply
Confirm Cancel

Last Monday a certain store sold 17 wrenches at x dollars each. Last T

SORT BY:
Date
Kudos
Tags:
Find Similar Topics 
Show Tags
Hide Tags
User avatar
L
Bunuel
Math Expert
Joined: 02 Sep 2009
Posts: 92919
Own Kudos [?]: 619083 [0]
Given Kudos: 81595
Send PM
CAT Tests Forum Quiz Mode
Last Monday a certain store sold 17 wrenches at x dollars each. Last T [#permalink] New post   25 May 2018, 04:16
Expert Reply
00:00
A
B
C
D
E

Difficulty:

15% (low)

Question Stats:

81% (01:46) correct 19% (02:30) wrong based on 106 sessions
Hide Show timer Statistics
Last Monday a certain store sold 17 wrenches at x dollars each. Last Tuesday the store reduced its prices and sold an additional 8 wrenches at 0.5x dollars each. Which of the following is equal to the average (arithmetic mean) price, in dollars, of the 25 wrenches that the store sold last Monday and Tuesday?

A. 0.68x
B. 0.73x
C. 0.76x
D. 0.81x
E. 0.84x
ShowHide Answer
Official Answer
E
User avatar
L
Mo2men
RSM Erasmus Moderator
Joined: 26 Mar 2013
Posts: 2461
Own Kudos [?]: 1360 [1]
Given Kudos: 641
Concentration: Operations, Strategy
Schools: Erasmus (II)
Send PM
Reviews Badge
Re: Last Monday a certain store sold 17 wrenches at x dollars each. Last T [#permalink] New post   26 May 2018, 14:36
1
Kudos
Bunuel wrote:
Last Monday a certain store sold 17 wrenches at x dollars each. Last Tuesday the store reduced its prices and sold an additional 8 wrenches at 0.5x dollars each. Which of the following is equal to the average (arithmetic mean) price, in dollars, of the 25 wrenches that the store sold last Monday and Tuesday?

A. 0.68x
B. 0.73x
C. 0.76x
D. 0.81x
E. 0.84x


Let x =10

Monday sales = 170

Tuesday sales = 40

Total = 210

Average price = total / number of wrenches = 210/25 ...........multiply by 4/4 to make the denominator 100

Average price = 840/100 = 8.4

It is obvious from answer choices

Answer: E
avatar
S
gmatlover12
Intern
Intern
Joined: 25 Jan 2017
Posts: 26
Own Kudos [?]: 75 [0]
Given Kudos: 9
Location: India
Concentration: Finance, Strategy
Schools: Tuck '21 (A) CBS '21 (II) Kellogg '21 (M$)
GMAT 1: 750 Q50 V41
GMAT 2: 770 Q51 V45
WE:Analyst (Venture Capital)
Send PM
Re: Last Monday a certain store sold 17 wrenches at x dollars each. Last T [#permalink] New post   25 May 2018, 05:52
So the store sold 25 wrenches for 21x dollars ( 17x + 8 * 1/2 x). So the mean price is 21/25 = 0.84
User avatar
L
Abhishek009
Board of Directors
Joined: 11 Jun 2011
Status:QA & VA Forum Moderator
Posts: 6072
Own Kudos [?]: 4690 [0]
Given Kudos: 463
Location: India
GPA: 3.5
WE:Business Development (Commercial Banking)
Send PM
GMAT ToolKit User
Re: Last Monday a certain store sold 17 wrenches at x dollars each. Last T [#permalink] New post   25 May 2018, 07:17
Bunuel wrote:
Last Monday a certain store sold 17 wrenches at x dollars each. Last Tuesday the store reduced its prices and sold an additional 8 wrenches at 0.5x dollars each. Which of the following is equal to the average (arithmetic mean) price, in dollars, of the 25 wrenches that the store sold last Monday and Tuesday?

A. 0.68x
B. 0.73x
C. 0.76x
D. 0.81x
E. 0.84x

\(\frac{17*x + 0.50x*8}{25} = 0.84x\), Answer must be (E)
User avatar
L
CAMANISHPARMAR
VP
VP
Joined: 12 Feb 2015
Posts: 1065
Own Kudos [?]: 2103 [0]
Given Kudos: 77
Send PM
Last Monday a certain store sold 17 wrenches at x dollars each. Last T [#permalink] New post   26 May 2018, 21:28
Last Monday a certain store sold 17 wrenches at x dollars each. Last Tuesday the store reduced its prices and sold an additional 8 wrenches at 0.5x dollars each. Which of the following is equal to the average (arithmetic mean) price, in dollars, of the 25 wrenches that the store sold last Monday and Tuesday?

Last Monday: Total sales in dollars = 17x
Last Tuesday: Total sales in dollars = 8*0.5x = 4x
Arithmetic mean = \(\frac{{Total Sales in Dollars}}{{Total sales in units}}\)
Arithmetic mean = \(\frac{21x}{25}\) multiply numerator and denominator by 4 we get \(\frac{84x}{100}\) = 0.84x

Correct answer is option E
User avatar
L
CAMANISHPARMAR
VP
VP
Joined: 12 Feb 2015
Posts: 1065
Own Kudos [?]: 2103 [0]
Given Kudos: 77
Send PM
Re: Last Monday a certain store sold 17 wrenches at x dollars each. Last T [#permalink] New post   26 May 2018, 21:35
CAMANISHPARMAR wrote:
Last Monday a certain store sold 17 wrenches at x dollars each. Last Tuesday the store reduced its prices and sold an additional 8 wrenches at 0.5x dollars each. Which of the following is equal to the average (arithmetic mean) price, in dollars, of the 25 wrenches that the store sold last Monday and Tuesday?

Last Monday: Total sales in dollars = 17x
Last Tuesday: Total sales in dollars = 8*0.5x = 4x
Arithmetic mean = \(\frac{{Total Sales in Dollars}}{{Total sales in units}}\)
Arithmetic mean = \(\frac{21x}{25}\) multiply numerator and denominator by 4 we get \(\frac{84x}{100}\) = 0.84x

Correct answer is option E


One could solve this question by picking a smart number. Always check which smart number will be useful for a particular question. Here the options are two decimals times x. Hence assuming x equal to 100 will help us infer the correct option.

Since x = 100;
Last Monday: Total sales @ $100 each in dollars = 1700 [17 * 100]
Last Tuesday: Total sales 50% of $100 i.e. @ $50 each in dollars = 400 [8 * 50]

Total sales is 2100

Arithmetic mean = \(\frac{{Total Sales in Dollars}}{{Total sales in units}}\)
Arithmetic mean = \(\frac{2100}{25}\) = $84 or 0.84x

Correct answer is option E
User avatar
L
ScottTargetTestPrep
Target Test Prep Representative
Joined: 14 Oct 2015
Status:Founder & CEO
Affiliations: Target Test Prep
Posts: 18761
Own Kudos [?]: 22055 [0]
Given Kudos: 283
Location: United States (CA)
Send PM
Re: Last Monday a certain store sold 17 wrenches at x dollars each. Last T [#permalink] New post   29 May 2018, 09:16
Expert Reply
Bunuel wrote:
Last Monday a certain store sold 17 wrenches at x dollars each. Last Tuesday the store reduced its prices and sold an additional 8 wrenches at 0.5x dollars each. Which of the following is equal to the average (arithmetic mean) price, in dollars, of the 25 wrenches that the store sold last Monday and Tuesday?

A. 0.68x
B. 0.73x
C. 0.76x
D. 0.81x
E. 0.84x


The average is:

(17x + 8(0.5x))/25 = 21x/25 = 84x/100 = 0.84x

Answer: E
User avatar
L
Kinshook
GMAT Club Legend
GMAT Club Legend
Joined: 03 Jun 2019
Posts: 5344
Own Kudos [?]: 3965 [0]
Given Kudos: 160
Location: India
Schools: HBS '22 CBS '22 Wharton '22
GMAT 1: 690 Q50 V34
WE:Engineering (Transportation)
Send PM
Reviews Badge
Re: Last Monday a certain store sold 17 wrenches at x dollars each. Last T [#permalink] New post   13 Dec 2020, 17:28
Given: Last Monday a certain store sold 17 wrenches at x dollars each. Last Tuesday the store reduced its prices and sold an additional 8 wrenches at 0.5x dollars each.
Asked: Which of the following is equal to the average (arithmetic mean) price, in dollars, of the 25 wrenches that the store sold last Monday and Tuesday?

Total price of 25 wrenches sold = 17x + 8(.5x) = 17x + 4x = 21x
Average price of 25 wrenches sold = 21x/25 = .84x

IMO E
GMAT Club Bot
gmatclubot
Re: Last Monday a certain store sold 17 wrenches at x dollars each. Last T [#permalink]
13 Dec 2020, 17:28
Moderators:
Bunuel
Math Expert
92918 posts
yashikaaggarwal
Senior Moderator - Masters Forum
3137 posts

Powered by phpBB © phpBB Group | Emoji artwork provided by EmojiOne
Main navigation
GMAT Resources
Partners
MBA Resources
www.gmac.com|www.mba.com | | GMAT Club Rules | Terms and Conditions