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 1 of 7.

SANKAR NAYAK said:   4 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)

Cosmicguypradeep said:   1 decade ago
@habiha
here is the answer
% increase = (actual increase/original price *100)%
% decrease = (actual decrease/ original price *100)%

so, for this question we have to calculate % increase (since the pen was sold at higher rate 45, which was actually bought for 15 Rs)

(60-15/15 *100)% = 300%.

Sriramamurthi said:   5 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:   6 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)

Narmadha said:   7 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.

Kiran mali said:   9 years ago
20% of a = b.
Means,
20/100 * a = b.
0.2a = b.

Means b = 0.2a,
Now b % of 20 = suppose x,
Means b/100*20 = x,
But b = 0.2a,
Meas 0.2a/100 * 20 = x
4a/100 = x.

Means we get that's value x = 4% of a.
(1)

Kowsigan said:   9 years ago
Fresh grapes contain 80% water by weight and when the grapes are died, raisins contain 25% by weight.

How many kgs of fresh grapes are needed to get 20kg of raisins?

Please someone explain to solve this.

Shivam Patel said:   6 months ago
Take 100% as complete;
Now solve the first part;
20% of A means 20% of 100,
Then B is already the same as A means B is also 20%.
According to the question;
B = 20%.
20% of 20 is 4.
(25)

Arun . S said:   1 decade ago
Here, 20% of a=b i.e.,(20/100)a=b
then, b%20 i.e.,(b/100)*20---I
then sub b=(20/100)a in I
we get,
=(20/100)a * (1/100) * 20
=(20/100)a * (20/100)
=(400/10000)a
=(4/100)a
= 4% of a
(1)

Naveen said:   10 years ago
20 percentage of a = b.

Then 20 percentage of b = ?

b = 20 percentage of a.

20 percentage of b = 20 percentage of 20 percentage of a.

= 20/100*20/100 of a = 4 percentage of a.


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