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:
134 comments Page 5 of 14.

Bindu D K said:   6 years ago
20%= 120.
50% = 150.
120:150 = 120/150 = 4:5.

Sushant pal said:   7 years ago
a : b:

20%:50%
20/100 = 2/5
50/100 = 1/2
a:b :: c:d.
2:5 :: 1:2.
= answer 5:4 or 5/4.

Anomie said:   7 years ago
@All who have a doubt that why does 100 only comes in place of x.

It is so because percentage is always 100. Therefore x = 100.
(1)

Trimu said:   7 years ago
Let, The 3rd number be 100.

Then the 1st number is more than 20% than the 3rd number so 100+20=120.
Similarly, 2nd number is 100+50= 150.
Now the ratio of two numbers,
120:150,
4:5.
(1)

Sayani said:   7 years ago
We can assume the third number as 100.

Riddhi said:   7 years ago
Why you take 100 here? Please explain me.

Azan said:   7 years ago
How come 120 and 150?

Limsss said:   7 years ago
Thanks all for explaining this.

Bdyachan said:   8 years ago
Let 3rd no. X.
20% of X =x/5,
So required no= X+x/5 =6x/5 (due to 20%more),
and 50% 0f X=x/2 , so required no =X+x/2=3x/2 (due to 50% more),
Now ratio =6x/5*2/3x=4:5 (ans 0).

AafAque Ali said:   8 years ago
Percent = cent means 100 okey then.
20% n 50% just add them a 100.
120 n 150.
120 : 150 simplify.
4:5 Answer simple way.


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