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:
72 comments Page 2 of 8.

Bittu Rana said:   8 months 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.
(13)

Varun said:   5 years ago
A = 100,
B = 20.
20% of B = 2 * 2 = 4.
(6)

JIYA said:   3 years ago
Hi,
20/100a * 1/100 * 20 ,
400a/10,000,
4/100a%.

Now,
4/100 *100 = 4%.
(6)

Samrat said:   10 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.
(5)

Tenzin Tshedup said:   5 years ago
Let's say a = 100.

0.2 * 100 = 20 which is B,
So,
0.2 * 20 = 4 which is equal to 0.04 * 100= 4.
(5)

SANKAR NAYAK said:   5 years ago
If 20% of a=b means B =(20/100)*a ----> eq(1)
And b%of 20 means (b/100)*20 ----> eq(2).

If we put eq(1) value in eq(2) Then,
[{(20/100)*a}/100]*100
If we simply fy it = {100/(100*20*a)}*20,
=> 1/(20*a)*20.
=> 1/a So ans is incorrect.

If we modify qn and put 20% of b then
(20/100)*b.

We put b value i.e b = (20/100)*a,
Then => (20/100)*(20/100)*a,
If we simply fy it , then,
(20*20/100*100)*a.
And answer will be (4/100)*a.
Means 4% of a.
(4)

Subhashini R said:   1 month ago
20%of a = b
(20/100)a = b
(1/5)a = b
b = a/5.

Then b% of 20 = ?
b/100 = 20.
subs b = a/5.
(a/5)/100 = 20.
a/500 = 20.
a/25 = 0.004 x a.
It means 4% of a.
(4)

Ritesh said:   3 years ago
(5/3)X - P% of (5/3)X = (3/5)X.

After solving this equation for the value of P, we will be getting the percentage error.
(4)

ADITYA KSHETRASIMHA said:   6 months ago
Really good, thanks all.
(4)

Prasad M said:   7 years ago
As percent always calculates at 100 ref. Let a= 100.

20% of a means - 20 which is b acc to question.

20 percent of again 20 (got above) is 4 percent of a.

This doesn't require any paper calculations I believe, Hope it helps.
(3)


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