It is currently 18 Nov 2018, 04:29

### 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

# a, b, and c are positive

Author Message
TAGS:
GMAT Club Legend
Joined: 07 Jun 2014
Posts: 4710
GRE 1: Q167 V156
WE: Business Development (Energy and Utilities)
Followers: 91

Kudos [?]: 1613 [0], given: 375

a, b, and c are positive [#permalink]  10 Jun 2018, 05:20
Expert's post
00:00

Question Stats:

65% (00:12) correct 35% (00:26) wrong based on 20 sessions
a, b, and c are positive

 Quantity A Quantity B (a + b)% of c c% of (a + b)

A)The quantity in Column A is greater.
B)The quantity in Column B is greater.
C)The two quantities are equal.
D)The relationship cannot be determined from the information given.
[Reveal] Spoiler: OA

_________________

Sandy
If you found this post useful, please let me know by pressing the Kudos Button

Try our free Online GRE Test

Intern
Joined: 21 Nov 2017
Posts: 33
Followers: 0

Kudos [?]: 6 [0], given: 0

Re: a, b, and c are positive [#permalink]  13 Jun 2018, 18:29
a,b,c > 0

Quantity A = (a+b)%*c
Quantity B = c%*(a+b) =(a+b)*c%

--> A = B

Key: C
Manager
Joined: 22 Feb 2018
Posts: 90
Followers: 2

Kudos [?]: 65 [0], given: 9

Re: a, b, and c are positive [#permalink]  13 Jun 2018, 20:18
A: (a + b) % c
B: c % (a + b)
If a+b = c or : A and B are equal.
If a+b < c : A is equal to a+b and B is equal to c mod a+b. So B is bigger.
If a+b > c : A is equal to a+b mod c and B is equal to c. So A is bigger.

We can apply different values to see this as well.
GMAT Club Legend
Joined: 07 Jun 2014
Posts: 4710
GRE 1: Q167 V156
WE: Business Development (Energy and Utilities)
Followers: 91

Kudos [?]: 1613 [0], given: 375

Re: a, b, and c are positive [#permalink]  14 Jun 2018, 04:26
Expert's post
A: (a + b) % c
B: c % (a + b)
If a+b = c or : A and B are equal.
If a+b < c : A is equal to a+b and B is equal to c mod a+b. So B is bigger.
If a+b > c : A is equal to a+b mod c and B is equal to c. So A is bigger.

We can apply different values to see this as well.

Lets examine by plugging values in this case a=10 b=30 and c=30

Quantity A is (20+30)% of 30 or $$\frac{50}{100} \times 30$$

Quantity B is 30% of (20+30) or $$\frac{30}{100} \times 50$$

See in both cases the numerator and the denominator is always the same i.e $$30 \times 50$$ and $$100$$ respectively.

_________________

Sandy
If you found this post useful, please let me know by pressing the Kudos Button

Try our free Online GRE Test

GMAT Club Legend
Joined: 07 Jun 2014
Posts: 4710
GRE 1: Q167 V156
WE: Business Development (Energy and Utilities)
Followers: 91

Kudos [?]: 1613 [0], given: 375

Re: a, b, and c are positive [#permalink]  14 Jul 2018, 04:55
Expert's post
Explanation

It is always the case that, for two positive quantities, M% of N = N% of M. In this case, (a + b) makes the problem appear more complicated, but the principle still applies. Algebraically:

Quantity A : $$\frac{a+b}{100}\times c$$

Quantity B: $$\frac{c}{100}\times (a+b)$$

Both quantities can be simplified to $$\frac{(a+b) \times c}{100}$$. The two quantities are equal.
_________________

Sandy
If you found this post useful, please let me know by pressing the Kudos Button

Try our free Online GRE Test

Re: a, b, and c are positive   [#permalink] 14 Jul 2018, 04:55
Display posts from previous: Sort by