If p 0 and a is 2p percent of b, then, in terms of p, b is what perc

Question

If p > 0 and a is 2p percent of b, then, in terms of p, b is what percent of a ?

A. 50p
B. 1/(500p)
C. 5/p
D. 50/p
E. 5000/p

Madhavi1990 · Answer

a/ 2 is 1/4 b
a is 1/2 b

hence b is 2a. Option A fits best.

Looking for more detailed options on OA

chetan2u · Answer

Hi Madhavi..
Solve the Q for answer or substitute..
Solution..
 a=\frac{2p}{100}*b.........b=\frac{50a}{p} 
Now, in terms of % of a... b=\frac{50a}{ap}*100=5000/p

Substitute..
Take a as 50 and b as 100, so 2p=50% or p=25
So b in % of a = 100*100/50=200%
Substitute in Choices
Only E gives 200%

Munch · Answer

a= 2p% of b --> 2pb/100
Now b is what percentage of a 
2pb/100 -->100%
then b --> (100*b) / (2pb/100)

After cancelling b and dividing 100 by 2 -- > (50*100)/p ==> 5000/p

Ans: E

MathRevolution · Answer

p > 0 and a is 2p percent of b

a =  2p * \frac{1}{100} * b  or  b = \frac{100a}{2p}

b is what percent of a  ->  b = what * \frac{1}{100} * a  or  \frac{100a}{2p} = what * \frac{1}{100} * a

what = \frac{100 * 100 a }{ 2ap }

what = \frac{100 * 50}{p}

what = \frac{5000}{p}

Answer E

hr1212 · Answer

Let x percent of a equal to b, and we need to find x,

a*x/100 = b
x = (100*b)/a --- (1)

Also,

a = b*2p/100
b/a = 50/p

Substituting in (1)

x = 100 * 50/p = 5000/p

IMO: E

If p > 0 and a is 2p percent of b, then, in terms of p, b is what perc

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