If a=2/7 b and b=7/3 c then what percent of a is c?
A)50 %
B) 57 1/7 %
C) 66 2/3 %
D) 125%
E)150%
Thanks
I don't understand the question, Yelp !!!
This topic has expert replies
- candygal79
- Senior | Next Rank: 100 Posts
- Posts: 49
- Joined: Mon Feb 10, 2014 1:18 am
- Followed by:3 members
GMAT/MBA Expert
- Brent@GMATPrepNow
- GMAT Instructor
- Posts: 16207
- Joined: Mon Dec 08, 2008 6:26 pm
- Location: Vancouver, BC
- Thanked: 5254 times
- Followed by:1268 members
- GMAT Score:770
Given: a = (2/7)b and b = (7/3)ccandygal79 wrote:If a = (2/7)b and b = (7/3)c, then what percent of a is c?
A)50 %
B) 57 1/7 %
C) 66 2/3 %
D) 125%
E)150%
Thanks
Take a = (2/7)b and replace b with (7/3)c to get: a = (2/7)(7/3)c
Simplify: a = (2/3)c
So, a is 2/3 of c
Or we can say that c is 3/2 of a.
In other words, c is [spoiler]150%[/spoiler] of a
Answer: E
Cheers,
Brent
Last edited by Brent@GMATPrepNow on Thu Mar 13, 2014 7:09 am, edited 2 times in total.
- GMATGuruNY
- GMAT Instructor
- Posts: 15539
- Joined: Tue May 25, 2010 12:04 pm
- Location: New York, NY
- Thanked: 13060 times
- Followed by:1906 members
- GMAT Score:790
Let c = 3.candygal79 wrote:If a=2/7 b and b=7/3 c then what percent of a is c?
A)50 %
B) 57 1/7 %
C) 66 2/3 %
D) 125%
E)150%
Thanks
Then:
b = (7/3)c = (7/3)(3) = 7.
a = (2/7)b = (2/7)(7) = 2.
Since a=2 and c=3, the question stem becomes:
What percent of 2 is 3?
Translate the resulting question into math, word by word.
The words in the question stem translate as follows:
what percent --> x/100.
of --> MULTIPLY.
is --> =.
Translating the resulting question into math, we get:
(x/100) * a = c
(x/100) * 2 = 3
2x = 300
x = 150.
The correct answer is E.
Private tutor exclusively for the GMAT and GRE, with over 20 years of experience.
Followed here and elsewhere by over 1900 test-takers.
I have worked with students based in the US, Australia, Taiwan, China, Tajikistan, Kuwait, Saudi Arabia -- a long list of countries.
My students have been admitted to HBS, CBS, Tuck, Yale, Stern, Fuqua -- a long list of top programs.
As a tutor, I don't simply teach you how I would approach problems.
I unlock the best way for YOU to solve problems.
For more information, please email me (Mitch Hunt) at [email protected].
Student Review #1
Student Review #2
Student Review #3
Followed here and elsewhere by over 1900 test-takers.
I have worked with students based in the US, Australia, Taiwan, China, Tajikistan, Kuwait, Saudi Arabia -- a long list of countries.
My students have been admitted to HBS, CBS, Tuck, Yale, Stern, Fuqua -- a long list of top programs.
As a tutor, I don't simply teach you how I would approach problems.
I unlock the best way for YOU to solve problems.
For more information, please email me (Mitch Hunt) at [email protected].
Student Review #1
Student Review #2
Student Review #3
- candygal79
- Senior | Next Rank: 100 Posts
- Posts: 49
- Joined: Mon Feb 10, 2014 1:18 am
- Followed by:3 members
- Abhishek009
- Master | Next Rank: 500 Posts
- Posts: 359
- Joined: Wed Mar 11, 2009 4:37 am
- Location: Kolkata, India
- Thanked: 50 times
- Followed by:2 members
Let c = 21candygal79 wrote:If a=2/7 b and b=7/3 c then what percent of a is c?
b = 49
a = 14
c/a * 100%candygal79 wrote:What percent of a is c?
=> ( 21/14 )*100%
=> 3/2*100%
=> 150%
Abhishek