Aptitude - Percentage - Discussion

Discussion Forum : Percentage - General Questions (Q.No. 6)
6.
If 20% of a = b, then b% of 20 is the same as:
4% of a
5% of a
20% of a
None of these
Answer: Option
Explanation:

20% of a = b      20 a = b.
100

b% of 20 = b x 20 = 20 a x 1 x 20 = 4 a = 4% of a.
100 100 100 100

Discussion:
69 comments Page 2 of 7.

Swaminathan Vembu said:   1 decade ago
The Question -> f 20% of a = b, then b% of 20 is the same as ?

Now since 20/100 * a = b,
b = 1/5*a = 0.2a.

b% of 20 implies 0.2a / 100 * 20 = 0.04a = 4% of a [4/100 * a].

Mahesh said:   1 decade ago
In earlier sum, how
=(20/100)a * (1/100) * 20 comes,
because if we sub b=(20/100)a in I then that equ'n comes like
((20/100)a)/100*20 then how it comes (20/100)a * (1/100) * 20

Anuj said:   1 decade ago
Let assume a =100,then 20% of a=b.
=20/100*100=> 20.

That means b=20.
Then b% of 20.
b/100*20.

It can also be written as (if we put the value of b).
20/100*20 =>4.

Bittu Rana said:   1 day ago
B = 20% of A.
Then B% of 20 = (20% of A)% of 20,
= 20/100 of A/100 of 20,
= (20/100)*(A/100)*20
= (4/100)*A = 4% of A.

Aditya said:   9 years ago
Let a =100 Now 20% of a i.e. 100 * 20/100 = 20 Rs.

Means 100 Rs of a = 20 Rs of b.

It means 1 Rs of a = 20/100 of b i.e 1/5 Rs.

Now, 20% of 1/5 = 20 * 1/5 = 4 Rs.

Rajeev said:   1 decade ago
Actually I am unable to understand the explanation you have given. I think you are skipping some steps. Can anyone help me by giving proper answer with step by step.

Samrat said:   2 months ago
But here we considered a as 100, but if we consider a as 10, the answer will be different, which is 20% of a; then it should not be considered as universal.
(2)

Prajwal said:   6 years ago
(20/100)a=b ----> (1)
(b/100)*20=? --------> (2)

So substitute (1) in (2).
So we get [(20/100)/100]*20 ==>(4/100) ==>4% [because b=(20/100)a].
(1)

Samarth upalkar said:   8 years ago
20% of a=(a/5)=b.

b% of 20 = ((a/5)/100) * 20,
= (a/500) * 20.
= (4/100) * a,
= 4% of a.

Manish said:   1 decade ago
20/100*a = b.
=> a/5 = b.

i.e. b = a/5.

No b% of 20 is b/100 *20.
= b/5.

Replacing b with a/5.

= a/25.
= 0.04 a.
= 4% of a.
(1)


Post your comments here:

Your comments will be displayed after verification.