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 6 of 14.
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.
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.
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.
Aayusha said:
8 years ago
I understand now, thank @Satish Rathnam.
Shah Saain said:
9 years ago
@Ali.
Good and clear method. Thanks.
Good and clear method. Thanks.
Chan Gaganjeet Singh said:
9 years ago
Let the third no. Be = 100.
Then add 100 in 20% and 50%.
It will be 120 and 150.
=120 : 150,
= 12 : 15,
= 4 : 5.
Then add 100 in 20% and 50%.
It will be 120 and 150.
=120 : 150,
= 12 : 15,
= 4 : 5.
Changaganjeet singh said:
9 years ago
Your method is easy.
Thanks @Ramesh.
Thanks @Ramesh.
Alexa said:
9 years ago
% always means 100 so we 1st take 100 as the cmplt no.
Rajini said:
9 years ago
Your concepts is good @Ganapathy and @Ramesh.
Rashid ali said:
9 years ago
The correct answer is 2:5.
I'm explaining bellow 20% means X is multiplied with 100.
For example : 95% of 80 = 80 * 95/100 = 76.
If you are agree with this concept then,
20% = 20/100 and 50/100.
20% = 1/5 and 50% = 1/2
A 1/5 : B 1/2 =2 : 5.
Hence answer is 2 : 5.
I'm explaining bellow 20% means X is multiplied with 100.
For example : 95% of 80 = 80 * 95/100 = 76.
If you are agree with this concept then,
20% = 20/100 and 50/100.
20% = 1/5 and 50% = 1/2
A 1/5 : B 1/2 =2 : 5.
Hence answer is 2 : 5.
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