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:
68 comments Page 1 of 7.

Indu said:   1 decade ago
How (1/100)*20 comes?
(2)

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)

Habiba said:   1 decade ago
A man bought a pen for #15 and later sold the pen for #60. What was the percent increase in the price of the pen?

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%.

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

Kcs said:   1 decade ago
Take a=100
b=20%a=20%100=20/100*100=20
b=20
20%b=20/100*20=4
4%a=4%100=4
5%a=5%100=5
20%a=20%100=20
ans=4%.

Bharathi Prasath S said:   1 decade ago
((20/100*a=b) => a=5b).

b/100*20=> b/5-->(1) 4% of a = 4/100*5b = b/5---> (2).

(1) = (2).

So option A.

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.

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.

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)


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