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10,000 percent of 500 percent of 20 percent less than some positive

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10,000 percent of 500 percent of 20 percent less than some positive  [#permalink]

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New post 08 Oct 2018, 13:27
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10,000 percent of 500 percent of 20 percent less than some positive integer is what percent greater than 400 percent of 20 percent of 10 percent of that positive integer?
A) 499,900 percent
B) 49,990 percent
C) 4,999 percent
D) 499.9 percent
E) 49.99 percent

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Re: 10,000 percent of 500 percent of 20 percent less than some positive  [#permalink]

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New post 08 Oct 2018, 19:20
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Abhi077 wrote:
10,000 percent of 500 percent of 20 percent less than some positive integer is what percent greater than 400 percent of 20 percent of 10 percent of that positive integer?
A) 499,900 percent
B) 49,990 percent
C) 4,999 percent
D) 499.9 percent
E) 49.99 percent



10,000 percent of 500 percent of 20 percent less than some positive integer= (10000/100)*(500/100)*(80/100)*a = 100*5*0.8a=400a
is what percent greater than
400 percent of 20 percent of 10 percent of that positive integer= (400/100)*(20/100)*(10/100)*a=4*0.2*0.1=0.08a
So 100*(400a-0.08a)/0.08a=100(40000a-8a)/8a=100(5000-1)=100*4999=499900%

A
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Re: 10,000 percent of 500 percent of 20 percent less than some positive  [#permalink]

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New post 10 Oct 2018, 18:45
Abhi077 wrote:
10,000 percent of 500 percent of 20 percent less than some positive integer is what percent greater than 400 percent of 20 percent of 10 percent of that positive integer?
A) 499,900 percent
B) 49,990 percent
C) 4,999 percent
D) 499.9 percent
E) 49.99 percent


Let’s let n = the positive integer; we see that 10,000 percent of 500 percent of 20 percent less than some positive integer is:

10,000/100 * 500/100 * 80/100 * n = 100 * 5 * 4/5 * n = 400n

So we need to determine 400n is what percent greater than 400 percent of 20 percent of 10 percent of that integer, so we have:

400/100 * 20/100 * 10/100 * n = 4 * 1/5 * 1/10 * n = 4n/50 = 2n/25

Now we can determine 400n is what percent greater than 2n/25:

(400n - 2n/25)/(2n/25) * 100

Multiplying by 25/25 we have:

(10,000n - 2n)/2n * 100

9,998/2 * 100 = 499,900 percent

Answer: A
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Re: 10,000 percent of 500 percent of 20 percent less than some positive   [#permalink] 10 Oct 2018, 18:45
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