# 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:
118 comments Page 2 of 12.

Surya said:   2 years ago
Thanks for explaining @Ganapathy.

Sravan said:   2 years ago
Here, Why should we consider 100? Please explain.

Simran said:   3 years ago
Let c is 1,
then,
first = 1 + 0.20*1,
second = 1 + 0.50*1,
ratio = 4:5.

Shalini e said:   3 years ago
Thank you all for explaining the concept.

N.PRASANTH said:   3 years ago
120/100:150/100
= 120:150,
= 12:15,
= 4:5.
(3)

Morepankh said:   3 years ago
ATP,

1st no., Is 20% more than 3rd no.
Let 3rd no., be x;

Then, 1st no.,=(20/100)*x+x.
2nd no.,=(50/100)*x+x.
Finally,
1st = 120x/100.
2nd = 150x/100.
3rd = x.

Ratio required = 120x/100:150x/100.
= 4:5.

Ayushi said:   3 years ago
Thanks @Ali.

Preetam paul said:   3 years ago
How come 120 percent? Please explain.

SHAIK MANSOOR said:   3 years ago
They said comparing both 1st & 2nd third parts is less and it is Percentage. So For third part take it as 100%.

Then for 1st part 120% & 2nd part 150%.
Then 120% : 150% : 100%. Then the answers is 4:5.

Ugyen Dema said:   3 years ago