GMAT Question of the Day: Daily via email | Daily via Instagram New to GMAT Club? Watch this Video
close
It is currently 03 Oct 2022, 15:59
Register
GMAT Club Tests
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

Monthly rent for units in a certain apartment building is determined

6 posts Go to First Unread Post
Print view
NEW TOPIC
POST REPLY
Downloads
My Bookmarks
Reviews
SORT BY:
Date
Kudos
Tags:
Find Similar Topics 

Show Tags
Hide Tags

User avatar
L
Bunuel
Math Expert
Joined: 02 Sep 2009
Posts: 86665
CAT Tests Forum Quiz Mode Top Member of the Month
Monthly rent for units in a certain apartment building is determined [#permalink] New post  30 Jul 2018, 23:47
2
Bookmarks
Expert Reply
Quiz Dashboard Attempt only this question Same topic and source Same topic and difficulty Same source and difficulty Random Chronological Reverse chronological Learn more
00:00
A
B
C
D
E

Difficulty:

15% (low)

Question Stats:

88% (02:49) correct 12% (03:04) wrong based on 146 sessions

Hide Show timer Statistics

Monthly rent for units in a certain apartment building is determined by the formula \(k*\frac{5r^2+10t}{f+5}\) where k is a constant, r and t are the number of bedrooms and bathrooms in the unit, respectively, and f is the floor number of the unit. A 2-bedroom, 2-bathroom unit on the first floor is going for $800/month. How much is the monthly rent on a 3-bedroom unit with 1 bathroom on the 3rd floor?

(A) $825
(B) $875
(C) $900
(D) $925
(E) $1,000
ShowHide Answer
Official Answer
Official Answer and Stats are available only to registered users. Register/Login.

_________________
New to the GMAT CLUB Forum?

My Signature Questions' Collection:


What are GMAT Club Tests?
Extra-hard Quant Tests with Brilliant Analytics
Signature Read More
Quiz Dashboard Attempt only this question Same topic and source Same topic and difficulty Same source and difficulty Random Chronological Reverse chronological Learn more
User avatar
P
DavidTutorexamPAL
examPAL Representative
Joined: 07 Dec 2017
Posts: 1077
Re: Monthly rent for units in a certain apartment building is determined [#permalink] New post  31 Jul 2018, 00:24
Bunuel wrote:
Monthly rent for units in a certain apartment building is determined by the formula \(k*\frac{5r^2+10t}{f+5}\) where k is a constant, r and t are the number of bedrooms and bathrooms in the unit, respectively, and f is the floor number of the unit. A 2-bedroom, 2-bathroom unit on the first floor is going for $800/month. How much is the monthly rent on a 3-bedroom unit with 1 bathroom on the 3rd floor?

(A) $825
(B) $875
(C) $900
(D) $925
(E) $1,000


As we're given all the data we need and just need to plug things in, we'll jump straight into the calculation.
This is a Precise approach.

Since r = 2, t = 2, f = 1 give a rent of 800, then plugging in the numbers gives
800 = k * (5*4 + 20)/(1+5) --> 800 = 40k/6 --> 20 = k/6 --> k = 120

So, if r = 3, t = 1, and f = 3 then the rent is
120(5*9+10)/(3+5) = 120*55/8 = 15*55 = 550 + 275 = 825

(A) is our answer.
_________________
Image
Sign up for 7-day free trial
Image
Signature Read More
User avatar
P
sudarshan22
Retired Moderator
Joined: 30 Jan 2015
Posts: 702
Location: India
Concentration: Operations, Marketing
GPA: 3.5
Re: Monthly rent for units in a certain apartment building is determined [#permalink] New post  31 Jul 2018, 02:53
Bunuel wrote:
Monthly rent for units in a certain apartment building is determined by the formula \(k*\frac{5r^2+10t}{f+5}\) where k is a constant, r and t are the number of bedrooms and bathrooms in the unit, respectively, and f is the floor number of the unit. A 2-bedroom, 2-bathroom unit on the first floor is going for $800/month. How much is the monthly rent on a 3-bedroom unit with 1 bathroom on the 3rd floor?


First case :
r = 2, t = 2, f = 1, Rent = 800
On solving we get:
800 = (k * (5 * 4 + 20 )) / ( 1 + 5 )
800 = 40k / 6
40k = 800 * 6
k = 4800 / 40
k = 120


Second case :
r = 3, t = 1, f = 3, k = 120
On solving we get:
Rent = (120 * ( 5 * 9 + 10 )) / ( 3 + 5 )
Rent = (120 * 55) / 8
Rent = 6600 / 8 = 825

Hence, A.
_________________
The few, the fearless !

Thanks :-)
Signature Read More
User avatar
B
DinkarDK
Intern
Intern
Joined: 11 Sep 2017
Posts: 43
GMAT 1: 600 Q42 V31
Reviews Badge
Re: Monthly rent for units in a certain apartment building is determined [#permalink] New post  31 Jul 2018, 02:57
1
Kudos
Bunuel wrote:
Monthly rent for units in a certain apartment building is determined by the formula \(k*\frac{5r^2+10t}{f+5}\) where k is a constant, r and t are the number of bedrooms and bathrooms in the unit, respectively, and f is the floor number of the unit. A 2-bedroom, 2-bathroom unit on the first floor is going for $800/month. How much is the monthly rent on a 3-bedroom unit with 1 bathroom on the 3rd floor?

(A) $825
(B) $875
(C) $900
(D) $925
(E) $1,000



\(k*\frac{5r^2+10t}{f+5}\) replaceing the values for r=2, t=2 and f=1 and equating to 800 gives k =120

k[(5*4+10*2)/(1+5)] = 800
k = 120

Now
for r = 3, t= 1 and f=3
we get
120 [(5*9 + 10*10/(3+5)] = 825
User avatar
L
ScottTargetTestPrep
Target Test Prep Representative
Joined: 14 Oct 2015
Status:Founder & CEO
Affiliations: Target Test Prep
Posts: 16230
Location: United States (CA)
Re: Monthly rent for units in a certain apartment building is determined [#permalink] New post  01 May 2019, 16:20
Expert Reply
Bunuel wrote:
Monthly rent for units in a certain apartment building is determined by the formula \(k*\frac{5r^2+10t}{f+5}\) where k is a constant, r and t are the number of bedrooms and bathrooms in the unit, respectively, and f is the floor number of the unit. A 2-bedroom, 2-bathroom unit on the first floor is going for $800/month. How much is the monthly rent on a 3-bedroom unit with 1 bathroom on the 3rd floor?

(A) $825
(B) $875
(C) $900
(D) $925
(E) $1,000



First we need to determine the value of k, using the following equation based on r = 2, t = 2 and f = 1:

k * [5(2)^2 + 10(2)]/(1 + 5) = 800

k * 40/6 = 800

k = 800 * 6/40

k = 120

Now, using k = 120, r = 3, t = 1 and f = 3, the monthly rent for a 3-bedroom unit with 1 bathroom on the 3rd floor is:

120 * [5(3)^2 + 10(1)]/(3 + 5)

120 * 55/8

15 * 55

825

Answer: A
_________________

See why Target Test Prep is the top rated GMAT course on GMAT Club. Read Our Reviews

Signature Read More
User avatar
bumpbot
Non-Human User
Joined: 09 Sep 2013
Posts: 24447
Re: Monthly rent for units in a certain apartment building is determined [#permalink] New post  22 Aug 2022, 01:00
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.
_________________
GMAT Books | GMAT Club Tests | Best Prices on GMAT Courses | GMAT Mobile App | Math Resources | Verbal Resources
Signature Read More
GMAT Club Bot
gmatclubot
Re: Monthly rent for units in a certain apartment building is determined [#permalink]
22 Aug 2022, 01:00
NEW TOPIC
POST REPLY
Downloads
My Bookmarks
Reviews
Moderators:
chetan2u
Math Expert
10583 posts
Bunuel
Math Expert
86665 posts
yashikaaggarwal
Senior Moderator - Masters Forum
3086 posts

cron

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