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

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If 20 percent of 3k is 6, what is 40 percent of k?  [#permalink]

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23 Oct 2018, 21:05
00:00

Difficulty:

5% (low)

Question Stats:

93% (00:23) correct 7% (00:39) wrong based on 57 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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Joined: 20 Feb 2015
Posts: 797
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Re: If 20 percent of 3k is 6, what is 40 percent of k?  [#permalink]

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23 Oct 2018, 22:10
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]

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23 Oct 2018, 22:43
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]

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23 Oct 2018, 23:28
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

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Re: If 20 percent of 3k is 6, what is 40 percent of k?  [#permalink]

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24 Oct 2018, 02:41

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.

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Re: If 20 percent of 3k is 6, what is 40 percent of k?  [#permalink]

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24 Oct 2018, 04:04
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.

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Re: If 20 percent of 3k is 6, what is 40 percent of k?  [#permalink]

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25 Oct 2018, 17:00
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.

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Re: If 20 percent of 3k is 6, what is 40 percent of k?  [#permalink]

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25 Oct 2018, 22:08
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

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

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

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

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Re: If 20 percent of 3k is 6, what is 40 percent of k? &nbs [#permalink] 25 Oct 2018, 22:08
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