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Math Expert V
Joined: 02 Sep 2009
Posts: 55231
If 20 percent of 3k is 6, what is 40 percent of k?  [#permalink]

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Difficulty:   5% (low)

Question Stats: 93% (00:32) correct 7% (00:52) wrong based on 61 sessions

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If 20 percent of 3k is 6, what is 40 percent of k?

A. 4
B. 12
C. 24
D. 36
E. 72

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Director  G
Joined: 20 Feb 2015
Posts: 795
Concentration: Strategy, General Management
Re: If 20 percent of 3k is 6, what is 40 percent of k?  [#permalink]

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Bunuel wrote:
If 20 percent of 3k is 6, what is 40 percent of k?

A. 4
B. 12
C. 24
D. 36
E. 72

.2(3k) = 6
k = 60/6 = 10
.4k = 4
A
Board of Directors P
Status: QA & VA Forum Moderator
Joined: 11 Jun 2011
Posts: 4470
Location: India
GPA: 3.5
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Re: If 20 percent of 3k is 6, what is 40 percent of k?  [#permalink]

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Bunuel wrote:
If 20 percent of 3k is 6, what is 40 percent of k?

A. 4
B. 12
C. 24
D. 36
E. 72

$$20$$% = $$\frac{1}{5}$$

Now, $$\frac{3k}{5} = 6$$

So, $$k = 10$$

Hence 40% of 10 = 4; Answer must be (A)
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Director  G
Joined: 19 Oct 2013
Posts: 511
Location: Kuwait
GPA: 3.2
WE: Engineering (Real Estate)
Re: If 20 percent of 3k is 6, what is 40 percent of k?  [#permalink]

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Bunuel wrote:
If 20 percent of 3k is 6, what is 40 percent of k?

A. 4
B. 12
C. 24
D. 36
E. 72

20/100 * 3k = 6

0.6k = 6
K = 10

0.4* 10 = 4

Answer choice A

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e-GMAT Representative D
Joined: 04 Jan 2015
Posts: 2852
Re: If 20 percent of 3k is 6, what is 40 percent of k?  [#permalink]

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Solution

Given:
• 20% of 3k = 6

To find:
• The value of 40% of k

Approach and Working:
• 20% of 3k = $$(\frac{20}{100}) * 3k = \frac{3k}{5} = 6$$
o Thus, $$k = 5 * \frac{6}{3} = 10$$
• 40% of k = $$(\frac{40}{100}) * k = (\frac{2}{5}) * 10 = 4$$

Hence the correct answer is Option A.

Answer: A

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Joined: 31 Oct 2013
Posts: 1352
Concentration: Accounting, Finance
GPA: 3.68
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Re: If 20 percent of 3k is 6, what is 40 percent of k?  [#permalink]

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Bunuel wrote:
If 20 percent of 3k is 6, what is 40 percent of k?

A. 4
B. 12
C. 24
D. 36
E. 72

20% of 3k = 6

(20/100)*3k = 6

(1/5)*k = 2

k = 10

10*0.4 = 4.

The best answer is A.
Target Test Prep Representative D
Status: Founder & CEO
Affiliations: Target Test Prep
Joined: 14 Oct 2015
Posts: 6200
Location: United States (CA)
Re: If 20 percent of 3k is 6, what is 40 percent of k?  [#permalink]

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Bunuel wrote:
If 20 percent of 3k is 6, what is 40 percent of k?

A. 4
B. 12
C. 24
D. 36
E. 72

0.2 x 3k = 6

3k = 6/0.2

3k = 30

k = 10

So 40 percent of 10 is 0.4 x 10 = 4.

Alternate Solution:

If 20 percent of 3k is 6, then 20 percent of k is 6/3 = 2. Since 40 percent of k is twice 20 percent of k, 40 percent of k is 2 x 2 = 4.

Answer: A
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Veritas Prep GMAT Instructor D
Joined: 16 Oct 2010
Posts: 9230
Location: Pune, India
Re: If 20 percent of 3k is 6, what is 40 percent of k?  [#permalink]

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Bunuel wrote:
If 20 percent of 3k is 6, what is 40 percent of k?

A. 4
B. 12
C. 24
D. 36
E. 72

$$\frac{20}{100} * 3k = 6$$

$$\frac{20}{100} * 3k * \frac{2}{3} = 6 * \frac{2}{3}$$

$$\frac{40}{100} * k = 4$$

Answer (A)
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