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:
73 comments Page 3 of 8.

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)

Sriramamurthi said:   6 years ago
@All.

20% of a = b so in question they are given the b value.
Then b% of 20 do now,
Instead of b %, put the value of b,
20/100 of a*20 then cancel it properly. You will get the value of 4% of a.
That will be our required answer.
(2)

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)

SABARI said:   7 years ago
20% a = b
when b is 20.
a = (20/100)*20,
a = 4.
(1)

Pavan said:   7 years ago
Anyone explain this.
(1)

Prajwal said:   7 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)

Qadir said:   7 years ago
20% of a = b --> Assume a as 100.

So, 20% of 100 = 20 By this we can say b=20.

Now, b% of 20 b=20% of 20=4 which is the answer.

Sagar said:   8 years ago
Hi, I am not understanding this. Anyone explain me to get the answer.

Ubaid goje said:   8 years ago
Thanks @Swaminathan Vembu.

Narmadha said:   8 years ago
If you consider a=50, then the answer will not be 4%, there is no clue in the question that one should take a=100. When I assigned a=100 I got the answer as 4%, then when I assigned different value for a, the % varies.


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