It is currently 16 Jan 2018, 09:27

### 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

# If 25 percent of 400 is 40 percent of x, then x =

Author Message
TAGS:

### Hide Tags

Math Expert
Joined: 02 Sep 2009
Posts: 43294

Kudos [?]: 139189 [0], given: 12778

If 25 percent of 400 is 40 percent of x, then x = [#permalink]

### Show Tags

12 Oct 2017, 03:25
00:00

Difficulty:

15% (low)

Question Stats:

97% (00:26) correct 3% (00:12) wrong based on 36 sessions

### HideShow timer Statistics

If 25 percent of 400 is 40 percent of x, then x =

(A) 65
(B) 160
(C) 250
(D) 260
(E) 440
[Reveal] Spoiler: OA

_________________

Kudos [?]: 139189 [0], given: 12778

VP
Joined: 22 May 2016
Posts: 1244

Kudos [?]: 454 [0], given: 670

If 25 percent of 400 is 40 percent of x, then x = [#permalink]

### Show Tags

12 Oct 2017, 05:24
Bunuel wrote:
If 25 percent of 400 is 40 percent of x, then x =

(A) 65
(B) 160
(C) 250
(D) 260
(E) 440

Two steps sometimes makes it faster:

$$25$$ percent of $$400$$ =
$$.25(400)= 100$$

100 is 40 percent of x
$$100 = .4x$$
$$x =\frac{100}{.4} = 250$$

One step equation:
$$\frac{1}{4} (400) = \frac{2}{5}x$$
$$100 =\frac{2}{5}x$$
$$x = \frac{5}{2}* 100$$
$$x = 250$$

[Reveal] Spoiler:
C

_________________

(formerly genxer123)
At the still point, there the dance is. -- T.S. Eliot

Kudos [?]: 454 [0], given: 670

Target Test Prep Representative
Affiliations: Target Test Prep
Joined: 04 Mar 2011
Posts: 1820

Kudos [?]: 1044 [0], given: 5

Re: If 25 percent of 400 is 40 percent of x, then x = [#permalink]

### Show Tags

16 Oct 2017, 15:44
Bunuel wrote:
If 25 percent of 400 is 40 percent of x, then x =

(A) 65
(B) 160
(C) 250
(D) 260
(E) 440

We can create the following equation:

0.25(400) = 0.4x

100 = 0.4x

100/0.4 = x

250 = x

_________________

Jeffery Miller

GMAT Quant Self-Study Course
500+ lessons 3000+ practice problems 800+ HD solutions

Kudos [?]: 1044 [0], given: 5

Re: If 25 percent of 400 is 40 percent of x, then x =   [#permalink] 16 Oct 2017, 15:44
Display posts from previous: Sort by