# 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
Answer: Option
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:
122 comments Page 11 of 13.

Richa said:   1 decade ago
Sathi method is very good.

Nidhi said:   1 decade ago
Ganapathy you are awsome.

ALI said:   1 decade ago
Hey guys plz don't bother!
let us make it simple...
it was said that first number is 20% more than third number
and second number is 50% more than third number..
now,
we assume the third number is "x".
we all know that "x" means "1x" not just "x"

so 20% more and 50% more than third number means
(20%)+(1x) and (50%)+(1x)
=(0.2)+(1x) and (0.5)+(1x)
=1.2x and 1.5x
now
1.2 : 1.5
let us forget the decimal and assume it 12 : 15
now simplify 12 : 15
i.e divide it by 3.
you'll get 4:5

that's it....
(1)

Kushi said:   1 decade ago
Thanks sathi.

Sandeep said:   1 decade ago
Some one explain why it is 100?

Abhishek said:   1 decade ago
I took x:x+20:x+50

then i assumed x+(x+20)+(x+50)=100

3x+70=100
x=10
hence the ration is 30/60
1/2

where did i go wrong?

Manimekalai.v said:   1 decade ago
Ganapathy method is good.

Priyabrata Muduli said:   1 decade ago
Sathi's concept is right.

Kunal said:   1 decade ago
Why take third number as 100?

Naveen said:   1 decade ago
Take 10 and 20% more than 10 is 12 and 50% more than 10 is 15 so the ratio is 12:15 which is nothing but 4:5 .

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