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

 It is currently 16 Oct 2019, 01:11 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

Not interested in getting valuable practice questions and articles delivered to your email? No problem, unsubscribe here.  The total cost of an office dinner was shared equally by k

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

Hide Tags

Manager  Joined: 22 Jul 2009
Posts: 120
Location: Manchester UK
The total cost of an office dinner was shared equally by k  [#permalink]

Show Tags

1
6 00:00

Difficulty:   15% (low)

Question Stats: 75% (01:27) correct 25% (01:17) wrong based on 173 sessions

HideShow timer Statistics

The total cost of an office dinner was shared equally by k of the n employees who attended the dinner. What was the total cost of the dinner?

(1) Each of the k employees who shared the cost of the dinner paid $19. (2) If the total cost of the dinner had been shared equally by k + 1 of the n employees who attended the dinner, each of the k + 1 employees would have paid$18.
Math Expert V
Joined: 02 Sep 2009
Posts: 58372
Re: The total cost  [#permalink]

Show Tags

3
2
sagarsabnis wrote:
The total cost of an office dinner was shared equally by k of the n employees who
attended the dinner. What was the total cost of the dinner?

(1) Each of the k employees who shared the cost of the dinner paid $19. (2) If the total cost of the dinner had been shared equally by k + 1 of the n employees who attended the dinner, each of the k + 1 employees would have paid$18.

Cost (C)=?

(1) 19k=C, insufficient;
(2) 18(k+1)=C, insufficient;

(1)+(2) 19k=C=18(k+1) --> 19k=18(k+1) --> k=18 --> C=19k=19*18. Sufficient.

_________________
General Discussion
Manager  Joined: 30 Aug 2010
Posts: 81
Location: Bangalore, India
Re: marked d as an aswer butit is wrong...  [#permalink]

Show Tags

4
alltimeacheiver wrote:
The total cost of an office dinner was shared equally by k of the n employees who
attended the dinner. What was the total cost of the dinner?
(1) Each of the k employees who shared the cost of the dinner paid $19. (2) If the total cost of the dinner had been shared equally by k + 1 of the n employees who attended the dinner, each of the k + 1 employees would have paid$18

stmnt1:

$$K$$members each paid $$19$$
==> total cost is $$19K$$
but the total cost can not be found as we do not know how many ($$K$$) members paid that amount.
NOT SUFF.

stmnt2:

$$K+1$$ members paid $$18$$ each
==> total cost is $$18(K+1)$$
but the total cost can not be found as we do not know how many ($$k+1$$) members paid that amount.
NOT SUFF.

1&2 together

it is implied that the amount paid by $$K$$ members, each paying $$19$$, is equilent to that paid by $$K+1$$ members, each paying $$18$$

==> $$19K$$ = $$18(K+1)$$

==> $$K=18$$
==> the toal cost of the dinner is $$19K$$ = $$18(K+1)$$ = $$18*19$$= $$342$$ (costly dinner, i would never go to that restaurant)

Now in the $$GMAT$$ way (with out using variables such as x).

the total cost is paid by K members each paying $19 and also given that the total cost could have been paid by K+1 members if each had payed$18

Means

if we added one person into the payees list, the cost for each person would be REDUCED by $$1$$ (from $$19$$to $$18$$) making the new person to pay $$18$$. this implies that the new person has bared $$18$$ of the total cost and made each of the original list of ppl to pay $$1$$ less. implies, The # of original ppl shud be $$18$$ so that the new person can pay $18 baring $$1$$ from each of the original list of people (original payees). means the orginal people were $$18$$ and paid $$19$$ each OR with an additional person , the total # of people is $$19$$ each paying $$18$$ ==> the total cost = $$18*19$$ OR $$19*18$$ TRY solving the GMAT questions in the second way. Most of the word problems can be. It is called "THINK without INK". Hope it helps. Regards, Murali. Kudos? Intern  Joined: 09 Dec 2012 Posts: 3 Re: The total cost [#permalink] Show Tags Bunuel wrote: sagarsabnis wrote: The total cost of an office dinner was shared equally by k of the n employees who attended the dinner. What was the total cost of the dinner? (1) Each of the k employees who shared the cost of the dinner paid$19.
(2) If the total cost of the dinner had been shared equally by k + 1 of the n
employees who attended the dinner, each of the k + 1 employees would have
paid $18. Cost (C)=? (1) 19k=C, insufficient; (2) 18(k+1)=C, insufficient; (1)+(2) 19k=C=18(k+1) --> 19k=18(k+1) --> k=18 --> C=19k=19*18. Sufficient. Answer: C. Hi! Thanks for the explanation! Please help me with this phrase: "k of the n employees" I cannot understand what for is "n" near employees? THANKS! Math Expert V Joined: 02 Sep 2009 Posts: 58372 Re: The total cost [#permalink] Show Tags 2 GMATCan wrote: Bunuel wrote: sagarsabnis wrote: The total cost of an office dinner was shared equally by k of the n employees who attended the dinner. What was the total cost of the dinner? (1) Each of the k employees who shared the cost of the dinner paid$19.
(2) If the total cost of the dinner had been shared equally by k + 1 of the n
employees who attended the dinner, each of the k + 1 employees would have
paid $18. Cost (C)=? (1) 19k=C, insufficient; (2) 18(k+1)=C, insufficient; (1)+(2) 19k=C=18(k+1) --> 19k=18(k+1) --> k=18 --> C=19k=19*18. Sufficient. Answer: C. Hi! Thanks for the explanation! Please help me with this phrase: "k of the n employees" I cannot understand what for is "n" near employees? THANKS! "The total cost of an office dinner was shared equally by k of the n employees who attended the dinner" means that there were total of n employees and k employees out of n shared equally the cost of the dinner. _________________ Intern  Joined: 09 Dec 2012 Posts: 3 Re: The total cost [#permalink] Show Tags "The total cost of an office dinner was shared equally by k of the n employees who attended the dinner" means that there were total of n employees and k employees out of n shared equally the cost of the dinner. THANKS for the clear explanation!!!!!!!!!!!!!!!!! +1 KUDOS CEO  D Status: GMATINSIGHT Tutor Joined: 08 Jul 2010 Posts: 2974 Location: India GMAT: INSIGHT Schools: Darden '21 WE: Education (Education) Re: The total cost of an office dinner was shared equally by k [#permalink] Show Tags 1 sagarsabnis wrote: The total cost of an office dinner was shared equally by k of the n employees who attended the dinner. What was the total cost of the dinner? (1) Each of the k employees who shared the cost of the dinner paid$19.
(2) If the total cost of the dinner had been shared equally by k + 1 of the n employees who attended the dinner, each of the k + 1 employees would have paid $18. Question : Total Cost of Dinner = No. of Contributor*Contribution amount of each person = ? Statement 1: Each of the k employees who shared the cost of the dinner paid$19.

i.e. Total Cost of Dinner = 19*k
Since k is unknown hence
NOT SUFFICIENT

Statement 2: If the total cost of the dinner had been shared equally by k + 1 of the n employees who attended the dinner, each of the k + 1 employees would have paid $18. i.e. Total Cost of Dinner = 18*(k+1) Since k is unknown hence NOT SUFFICIENT Combining the two statements i.e. Total Cost of Dinner = 18*(k+1) = 19*k i.e. k =18 i.e. Total Cost = 19*18 =$342
SUFFICIENT

_________________
Prosper!!!
GMATinsight
Bhoopendra Singh and Dr.Sushma Jha
e-mail: info@GMATinsight.com I Call us : +91-9999687183 / 9891333772
Online One-on-One Skype based classes and Classroom Coaching in South and West Delhi
http://www.GMATinsight.com/testimonials.html

ACCESS FREE GMAT TESTS HERE:22 ONLINE FREE (FULL LENGTH) GMAT CAT (PRACTICE TESTS) LINK COLLECTION
Intern  B
Joined: 21 Jan 2018
Posts: 49
Location: India
GPA: 2.85
WE: Consulting (Consulting)
The total cost of an office dinner was shared equally by k  [#permalink]

Show Tags

Let the cost be C.

(1) C = 19K , Insufficient
(2) C = 18(k+1) , Insufficient

Combining 1 and 2 :

$$1 = \frac{C}{K} - \frac{C}{K+1}$$
$$1 = \frac{19K}{K} - \frac{19K}{K+1}$$
Solving we get K=20

Option C.
_________________
Regards ,
Dhruv
_________________
Kudos will encourage many others, like me.

Please Give +1 Kudos if you liked the post!!

Thanks Non-Human User Joined: 09 Sep 2013
Posts: 13161
Re: The total cost of an office dinner was shared equally by k  [#permalink]

Show Tags

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.
_________________ Re: The total cost of an office dinner was shared equally by k   [#permalink] 13 Jun 2019, 11:04
Display posts from previous: Sort by

The total cost of an office dinner was shared equally by k

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

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