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

 It is currently 25 Jun 2018, 02:48

### 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

# Events & Promotions

###### Events & Promotions in June
Open Detailed Calendar

### Show Tags

01 Oct 2014, 10:54
3
13
00:00

Difficulty:

75% (hard)

Question Stats:

61% (03:34) correct 39% (03:09) wrong based on 101 sessions

### HideShow timer Statistics

A vendor sells only Product A, for $6, and Product B, for$21. If Q% of the products sold are Product B, and if T% of the total revenue comes from sales of Product B, find Q in terms of T.

(A) $$1501T - 15T^2$$

(B) $$\frac{15T}{615 - 6T}$$

(C) $$\frac{21T}{621 - 6T}$$

(D) $$\frac{40T}{140 - T}$$

(E) $$\frac{60T}{160 - T}$$

For the OE on this problem, and more practice Word Problems, see:
https://magoosh.com/gmat/2014/gmat-prac ... -problems/

Mike

_________________

Mike McGarry
Magoosh Test Prep

Education is not the filling of a pail, but the lighting of a fire. — William Butler Yeats (1865 – 1939)

 Magoosh Discount Codes EMPOWERgmat Discount Codes Optimus Prep Discount Codes
SVP
Status: The Best Or Nothing
Joined: 27 Dec 2012
Posts: 1837
Location: India
Concentration: General Management, Technology
WE: Information Technology (Computer Software)

### Show Tags

01 Jun 2016, 05:09
mikemcgarry wrote:
A vendor sells only Product A, for $6, and Product B, for$21. If Q% of the products sold are Product B, and if T% of the total revenue comes from sales of Product B, find Q in terms of T.

(A) $$1501T - 15T^2$$

(B) $$\frac{15T}{615 - 6T}$$

(C) $$\frac{21T}{621 - 6T}$$

(D) $$\frac{40T}{140 - T}$$

(E) $$\frac{60T}{160 - T}$$

For the OE on this problem, and more practice Word Problems, see:
https://magoosh.com/gmat/2014/gmat-prac ... -problems/

Mike

Let toatal number of product A=A and product B=B
total no. of products sold=(A+B)
total revenue= 6A+21B
As per stem
Q%(A+B)=B -------(a)
T%(6A+21B)=21B-------(b)
from(b) we get
6AT+21BT=2100B
B=6AT/(2100-21T)----(c)
from (a)
QA+QB=100B
B=QA/(100-Q)----(d)
equating (c)&(d)
2100Q-21QT=600T-6QT
Q(2100-15T)=600T
Q=600T/(2100-15T)
dividing by 15 to num. & denom.
Q=40T/(140-T)
Ans D
Senior Manager
Joined: 03 Apr 2013
Posts: 288
Location: India
Concentration: Marketing, Finance
Schools: Simon '20
GMAT 1: 740 Q50 V41
GPA: 3

### Show Tags

08 Jan 2018, 14:06
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.
_________________