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.

It appears that you are browsing the GMAT Club forum unregistered!

Signing up is free, quick, and confidential.
Join other 500,000 members and get the full benefits of GMAT Club

Registration gives you:

Tests

Take 11 tests and quizzes from GMAT Club and leading GMAT prep companies such as Manhattan GMAT,
Knewton, and others. All are free for GMAT Club members.

Applicant Stats

View detailed applicant stats such as GPA, GMAT score, work experience, location, application
status, and more

Books/Downloads

Download thousands of study notes,
question collections, GMAT Club’s
Grammar and Math books.
All are free!

Thank you for using the timer!
We noticed you are actually not timing your practice. Click the START button first next time you use the timer.
There are many benefits to timing your practice, including:

In a hostel, the number of students decreased by 8% and the [#permalink]

Show Tags

01 May 2012, 20:22

1

This post received KUDOS

5

This post was BOOKMARKED

00:00

A

B

C

D

E

Difficulty:

55% (hard)

Question Stats:

66% (03:47) correct
34% (02:23) wrong based on 166 sessions

HideShow timer Statistics

In a hostel, the number of students decreased by 8% and the price of food increased by 20% over the previous year. If each student consumes the same amount of food then By how much should the consumption of food be cut short by every student, so that the total cost of the food remains the same as that of the previous year?

In a hostel, the number of students decreased by 8% and the [#permalink]

Show Tags

01 May 2012, 22:23

2

This post received KUDOS

Cost of food (C) = Food consumed per student (F) * Number of students (N) * Price of food (P)

Originally, C = FNP

When number of students decrease by 8%, and the price of food increases by 20%, C = F(new) * (0.92N) * (1.2P) => F(new) = F/(0.92*1.2) => F(new) = 0.906F

Therefore the new cost of food must be 90.6% of the old cost, or the cost of food must decrease by 9.4% (option E)
_________________

Re: In a hostel, the number of students decreased by 8% and the [#permalink]

Show Tags

20 Aug 2014, 09:58

I cannot see this being a GMAT problem - how is one supposed to calculate 1- [1/(.92*1.2)] without a calculator? Even with using fractions I get 13/138 which is also not easily solved.

Re: In a hostel, the number of students decreased by 8% and the [#permalink]

Show Tags

20 Aug 2014, 23:08

speedilly wrote:

I cannot see this being a GMAT problem - how is one supposed to calculate 1- [1/(.92*1.2)] without a calculator? Even with using fractions I get 13/138 which is also not easily solved.

Agree.. this calculation goes tough. Any simpler way to avoid that 92 & 12 factor?
_________________

Re: In a hostel, the number of students decreased by 8% and the [#permalink]

Show Tags

21 Aug 2014, 00:04

1

This post received KUDOS

PareshGmat wrote:

speedilly wrote:

I cannot see this being a GMAT problem - how is one supposed to calculate 1- [1/(.92*1.2)] without a calculator? Even with using fractions I get 13/138 which is also not easily solved.

Agree.. this calculation goes tough. Any simpler way to avoid that 92 & 12 factor?

Hello

My approach is

Name: S = number of students P = Price Q = Quantity of food consumption. C = total cost

==> C = S*P*Q

One way to solve this kind of question is plug in numbers. Assume: before we have 100 students, P = $10 ==> C = 100*10*Q = 1000*Q After: we have 92 students, P = $12 ==> C' = 92*12*Q' = 1104*Q'

The red part is the decrease of food consumption. We can guess 104/1104 ~ 9.4% (The ONLY option < 10%) --> E is answer.

Hope it helps.
_________________

Please +1 KUDO if my post helps. Thank you.

"Designing cars consumes you; it has a hold on your spirit which is incredibly powerful. It's not something you can do part time, you have do it with all your heart and soul or you're going to get it wrong."

Re: In a hostel, the number of students decreased by 8% and the [#permalink]

Show Tags

13 Feb 2016, 01:37

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: In a hostel, the number of students decreased by 8% and the [#permalink]

Show Tags

14 Apr 2016, 02:51

1

This post received KUDOS

stonecold wrote:

Vyshak Any Shortcuts here ? took me 8 minutes to solve i solved twice actually thrice

regards Stone Cold

Yes bro possible

IMHO that we need to take three factors ( No of Students , Consumption per student and Cost of Food ) and create a table as below -

Attachment:

1.PNG [ 4.07 KiB | Viewed 715 times ]

Where Total Cost = No of Students * Consumption per student * Cost of Food

So, from the above table find the new value of Consumption per student

Consumption per student = Total Cost / ( No of Students * Cost of Food ) =>Consumption per student = 10000 / 92 * 12 =>New Consumption per student = 9.06

Now find the last part -

Quote:

By how much should the consumption of food be cut short by every student, so that the total cost of the food remains the same as that of the previous year?

Reduction in consumption required is 10 - 9.06 = 0.94

So, Percentage consumption of food be cut short by every student = 0.94/10 * 100 = 9.40% _________________

Thanks and Regards

Abhishek....

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

Since my last post, I’ve got the interview decisions for the other two business schools I applied to: Denied by Wharton and Invited to Interview with Stanford. It all...

[rss2posts title=The MBA Manual title_url=https://mbamanual.com/2016/11/22/mba-vs-mim-guest-post/ sub_title=MBA vs. MiM :3qa61fk6]Hey, guys! We have a great guest post by Abhyank Srinet of MiM-Essay . In a quick post and an...

Marketing is one of those functions, that if done successfully, requires a little bit of everything. In other words, it is highly cross-functional and requires a lot of different...