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

Question

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

chetan2u · Answer

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

ScottTargetTestPrep · Answer

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

SaquibHGMATWhiz · Answer

Solution:

10,000 percent of 500 percent of 20 percent less than some positive integer    Can be translated as  \frac{10000}{100}	imes \frac{500}{100}	imes (1-\frac{20}{100})	imes x 
 =100	imes 5	imes \frac{80x}{100} 
 =400x

400 percent of 20 percent of 10 percent of that positive integer 
  Can be translated as  \frac{400}{100}	imes \frac{20}{100}	imes \frac{10}{100}	imes x 
 =\frac{8x}{100}

We are asked the value of  \frac{400x-\frac{8x}{100}}{\frac{8x}{100}}	imes 100 
 =\frac{\frac{40000x-8x}{100}}{\frac{8x}{100}}	imes 100 
 =\frac{40000x-8x}{8x}	imes 100 
 =499900\%

Hence the right answer is    Option A

Regor60 · Answer

This is a poorly worded question since it's unclear that the 10000 and 500 apply to the number reduced by 20% rather than to the 20% reduction

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

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