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

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Bunuel
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If 20 percent of 3k is 6, what is 40 percent of k? [#permalink] If 20 percent of 3k is 6, what is 40 percent of k?   23 Oct 2018, 22:05
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00:00
A
B
C
D
E

Difficulty:

5% (low)

Question Stats:

94% (00:38) correct 6% (00:45) wrong based on 78 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
ShowHide Answer
Official Answer
A
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Re: If 20 percent of 3k is 6, what is 40 percent of k? [#permalink] If 20 percent of 3k is 6, what is 40 percent of k?   23 Oct 2018, 23:10
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
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Re: If 20 percent of 3k is 6, what is 40 percent of k? [#permalink] If 20 percent of 3k is 6, what is 40 percent of k?   23 Oct 2018, 23:43
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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Re: If 20 percent of 3k is 6, what is 40 percent of k? [#permalink] If 20 percent of 3k is 6, what is 40 percent of k?   24 Oct 2018, 00:28
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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Re: If 20 percent of 3k is 6, what is 40 percent of k? [#permalink] If 20 percent of 3k is 6, what is 40 percent of k?   24 Oct 2018, 03:41
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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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Re: If 20 percent of 3k is 6, what is 40 percent of k? [#permalink] If 20 percent of 3k is 6, what is 40 percent of k?   24 Oct 2018, 05:04
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.
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Re: If 20 percent of 3k is 6, what is 40 percent of k? [#permalink] If 20 percent of 3k is 6, what is 40 percent of k?   25 Oct 2018, 18:00
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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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Re: If 20 percent of 3k is 6, what is 40 percent of k? [#permalink] If 20 percent of 3k is 6, what is 40 percent of k?   25 Oct 2018, 23:08
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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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Re: If 20 percent of 3k is 6, what is 40 percent of k? [#permalink]
25 Oct 2018, 23:08
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