# Aptitude - Ratio and Proportion - Discussion

Discussion Forum : Ratio and Proportion - General Questions (Q.No. 2)
2.
Two numbers are respectively 20% and 50% more than a third number. The ratio of the two numbers is:
2 : 5
3 : 5
4 : 5
6 : 7
Explanation:

Let the third number be x.

 Then, first number = 120% of x = 120x = 6x 100 5

 Second number = 150% of x = 150x = 3x 100 2 Ratio of first two numbers = 6x : 3x = 12x : 15x = 4 : 5. 5 2

Discussion:
114 comments Page 1 of 12.

Anomi said:   3 months ago
Why do we need to use 100 to multiply? Please explain to me.
(1)

Biswajit Paul said:   4 months ago
20% -----> 4*5=20%
50% ------> 5*10=50%

Ratio is ---- (c) 4 : 5.

So, Option (C) is the Right answer.
(2)

Rahul kumawat said:   5 months ago
Suppose the 3rd number is x.
Then first no. will be more than 20% of third no.
So first no.=x+20x/100=6x/5.
second n0.=x+50x/100=3x/2.
so, the ratio of first and second no.=6x/5*2/3x=4:5.
(4)

Divya said:   1 year ago
@All.

Here,

First and second numbers 20% and 50% more that means 120:150 simply this we will get 4:5.
(5)

Samm said:   1 year ago
How to solve if we have been asked the 2nd number is greater than 100.

Like, Two numbers are respectively 40% and 110% more than a third number. The ratio of the two numbers is:?

Shakti said:   1 year ago
Let 3rd number is "c" and the 1st and 2nd is;
A,B.

Then,
A is the 20% more than c.
Means A = c+20%c.
= c+.2c.
= 1.2c.

Same hear,
B is the 50% more than of c.
Means. B = c + 50%c.
= c + .5c,
= 1.5c.
Then the 2 number ratio is,
A:B = 1.2c:1.5c.
(Multiply in both sides 10 to avoid the decimal point)
1.2c * 10:1.5c * 10.
12c:15c,
4:5.
(1)

Surya said:   1 year ago
Thanks for explaining @Ganapathy.

Sravan said:   1 year ago
Here, Why should we consider 100? Please explain.

Simran said:   2 years ago
Let c is 1,
then,
first = 1 + 0.20*1,
second = 1 + 0.50*1,
ratio = 4:5.

Shalini e said:   2 years ago
Thank you all for explaining the concept.