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If 35% of x equals 140, what is 20% of x?

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V
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If 35% of x equals 140, what is 20% of x? [#permalink]

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New post 09 Jun 2018, 00:00
00:00
A
B
C
D
E

Difficulty:

  15% (low)

Question Stats:

93% (00:31) correct 7% (00:43) wrong based on 41 sessions

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Re: If 35% of x equals 140, what is 20% of x? [#permalink]

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New post 09 Jun 2018, 02:56
Bunuel wrote:
If 35% of x equals 140, what is 20% of x?

(A) 9.8
(B) 39.2
(C) 80
(D) 320
(E) 400


\(0.35*x = 140\) -> x = \(\frac{140}{0.35} = \frac{140 * 100}{35} = 400\)

Therefore, 20 percent of x is \(0.2*400 = 80\)(Option C)
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Re: If 35% of x equals 140, what is 20% of x? [#permalink]

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New post 09 Jun 2018, 03:31
Bunuel wrote:
If 35% of x equals 140, what is 20% of x?

(A) 9.8
(B) 39.2
(C) 80
(D) 320
(E) 400


Another way to calculate this, which requires less arithmetic, is by estimation.
This is an Alternative approach.

Since 20% is a bit more than half of 35%, then we want a bit more than half of 140.
That is, we want a bit more than 70.

Only (C) fits.

If you see that the answers are relatively far apart from each other, estimation can be a great way to go!
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Re: If 35% of x equals 140, what is 20% of x? [#permalink]

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New post 09 Jun 2018, 04:24
Bunuel wrote:
If 35% of x equals 140, what is 20% of x?

(A) 9.8
(B) 39.2
(C) 80
(D) 320
(E) 400



35% of x = 140
(35/100)x = 140
35x = 140*100
35x = 14000
x = 400

we are asked to find out 20% of x

20% of 400
= (20/100)*400
=80

Thus the best answer is C.
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Re: If 35% of x equals 140, what is 20% of x? [#permalink]

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New post 10 Jun 2018, 12:51
Bunuel wrote:
If 35% of x equals 140, what is 20% of x?

(A) 9.8
(B) 39.2
(C) 80
(D) 320
(E) 400


20/35*140=80
C
Re: If 35% of x equals 140, what is 20% of x?   [#permalink] 10 Jun 2018, 12:51
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If 35% of x equals 140, what is 20% of x?

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