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If 25 percent of a certain number is 1,600, what is 10 perce

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If 25 percent of a certain number is 1,600, what is 10 perce [#permalink] New post 09 May 2018, 10:06
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If 25 percent of a certain number is 1,600, what is 10 percent of the number?

(A) 40

(B) 400

(C) 640

(D) 1,440

(E) 4,000
[Reveal] Spoiler: OA

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Re: If 25 percent of a certain number is 1,600, what is 10 perce [#permalink] New post 09 May 2018, 13:08
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Carcass wrote:
If 25 percent of a certain number is 1,600, what is 10 percent of the number?

(A) 40
(B) 400
(C) 640
(D) 1,440
(E) 4,000


IMPORTANT: We need not actually determine the number in question.

Given: 25% of a certain number is 1600
So, we know that 50% of the number is 3200
And 500% of the number is 32000
etc.

So, let's use the same logic to approximate the correct answer:
Given: 25% of a certain number is 1600
So, 12.5% of the number is 800
And 6.25% of the number is 400

Since 25% is BETWEEN 6.25% and 12.5%, we know that the correct answer is BETWEEN 400 and 800

Only one answer choice works.
Answer: C

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Re: If 25 percent of a certain number is 1,600, what is 10 perce [#permalink] New post 09 May 2018, 13:10
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I know that this below method is not usually the preferred 'easy' way, but I have been doing like this for a while now and I could solve this in 30seconds:
Let number be x. i.e 25x/100=1600. x= (1600*100)/25=6400. (6400*10)/100= 640
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Re: If 25 percent of a certain number is 1,600, what is 10 perce [#permalink] New post 27 Jun 2018, 16:15
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Carcass wrote:
If 25 percent of a certain number is 1,600, what is 10 percent of the number?

(A) 40

(B) 400

(C) 640

(D) 1,440

(E) 4,000


We can let n = the number in question and create the equation:

0.25n = 1,600

n = 6,400

So 10% of 6,400 is 0.1 x 6,400 = 640.

Answer: C
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Re: If 25 percent of a certain number is 1,600, what is 10 perce   [#permalink] 27 Jun 2018, 16:15
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