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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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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