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# If 20 percent of x is 5y, and y = 7, what is 60 percent of x?

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Math Expert
Joined: 02 Sep 2009
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If 20 percent of x is 5y, and y = 7, what is 60 percent of x?  [#permalink]

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27 Jun 2018, 20:34
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Difficulty:

5% (low)

Question Stats:

94% (00:55) correct 6% (01:04) wrong based on 53 sessions

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If 20 percent of x is 5y, and y = 7, what is 60 percent of x?

A. 105
B. 115
C. 125
D. 145
E. 175

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Posts: 2291
Re: If 20 percent of x is 5y, and y = 7, what is 60 percent of x?  [#permalink]

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27 Jun 2018, 21:47

Solution

Given:
• 20% of x = 5y
• y = 7

To find:
• The value of 60% of x = $$\frac{60}{100} * x = \frac{3x}{5}$$

Approach and Working:
As y = 7, 5y = 5 * 7 = 35

So, we can write:
• 20% of x = 35
Or, $$\frac{x}{5} = 35$$
Or, $$\frac{3x}{5} = 35 * 3 = 105$$

Hence, the correct answer is option A.

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Re: If 20 percent of x is 5y, and y = 7, what is 60 percent of x?  [#permalink]

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28 Jun 2018, 02:03
Bunuel wrote:
If 20 percent of x is 5y, and y = 7, what is 60 percent of x?

A. 105
B. 115
C. 125
D. 145
E. 175

20% of x = 5y
20/100 of x = 35................................y=7
(1/5)x = 35
x = 35*5

we are asked to find out 60% of x.

(35*5)*60/100
=105

Thus the best answer is A.

Short-cut:

(35/20)*60
=105
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Re: If 20 percent of x is 5y, and y = 7, what is 60 percent of x?  [#permalink]

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28 Jun 2018, 02:27

x=25y=175

60% of 175 is 105
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Re: If 20 percent of x is 5y, and y = 7, what is 60 percent of x?  [#permalink]

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02 Jul 2018, 08:46
Bunuel wrote:
If 20 percent of x is 5y, and y = 7, what is 60 percent of x?

A. 105
B. 115
C. 125
D. 145
E. 175

Since 20 percent of x is 5y and y = 7, we have:

0.2x = 5(7)

0.2x = 35

x = 175

So 60% of 175 is 0.6 x 175 = 105.

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Re: If 20 percent of x is 5y, and y = 7, what is 60 percent of x?  [#permalink]

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02 Jul 2018, 10:47
Bunuel wrote:
If 20 percent of x is 5y, and y = 7, what is 60 percent of x?

A. 105
B. 115
C. 125
D. 145
E. 175

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

So, $$\frac{x}{5} = 5*7$$

Or, $$x = 25*7$$

So, 60 % of x = 105, Answer must be (A)
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Re: If 20 percent of x is 5y, and y = 7, what is 60 percent of x? &nbs [#permalink] 02 Jul 2018, 10:47
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