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

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Math Expert
Joined: 02 Sep 2009
Posts: 51121
If 35% of x equals 140, what is 20% of x?  [#permalink]

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08 Jun 2018, 23:00
00:00

Difficulty:

5% (low)

Question Stats:

97% (00:44) correct 3% (02:10) wrong based on 52 sessions

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

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

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

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09 Jun 2018, 01:56
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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09 Jun 2018, 02:31
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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09 Jun 2018, 03:24
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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10 Jun 2018, 11:51
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? &nbs [#permalink] 10 Jun 2018, 11:51
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