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:
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 12 of 14.
Aayusha said:
8 years ago
I understand now, thank @Satish Rathnam.
Juke said:
8 years ago
Here is my solution.
Let,
x be the first num.
y be the 2nd.
z be the 3rd.
x is larger than z by 20% so,
x=1.2z : z=x/1.2.
y is larger than z by 50% so.
y = 1.5z : z = y/1.5.
Equate z,
x/1.2 = y/1.5.
x/y = 1.2/1.5.
x/y = 4/5.
4:5.
Let,
x be the first num.
y be the 2nd.
z be the 3rd.
x is larger than z by 20% so,
x=1.2z : z=x/1.2.
y is larger than z by 50% so.
y = 1.5z : z = y/1.5.
Equate z,
x/1.2 = y/1.5.
x/y = 1.2/1.5.
x/y = 4/5.
4:5.
Valar morghulis said:
8 years ago
I have a doubt that most people are facing here it seems:
It's written 20% more than the third number so we took Z(third number) + (20/100)*Z.
What should be written if the equation comes as Z + 20/100?
Please, someone, take a time to help me and clarify this.
Thank you.
It's written 20% more than the third number so we took Z(third number) + (20/100)*Z.
What should be written if the equation comes as Z + 20/100?
Please, someone, take a time to help me and clarify this.
Thank you.
Ravi said:
8 years ago
Simply, we all know that in Case Of percent 100 % is max percentage.
So take 3rd number be 100%
A say more than 3rd no. That is 20%+100%=120% or 1.2
B say more than 3rd no. That is 50%+100%=150% or 1.5
Now, divide A/B=1.2/1.5=4:5.
So take 3rd number be 100%
A say more than 3rd no. That is 20%+100%=120% or 1.2
B say more than 3rd no. That is 50%+100%=150% or 1.5
Now, divide A/B=1.2/1.5=4:5.
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.
20% n 50% just add them a 100.
120 n 150.
120 : 150 simplify.
4:5 Answer simple way.
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).
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).
Limsss said:
7 years ago
Thanks all for explaining this.
Azan said:
7 years ago
How come 120 and 150?
Riddhi said:
7 years ago
Why you take 100 here? Please explain me.
Sayani said:
7 years ago
We can assume the third number as 100.
Post your comments here:
Quick links
Quantitative Aptitude
Verbal (English)
Reasoning
Programming
Interview
Placement Papers