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 4 of 14.
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.
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)
Mayank Mathur said:
1 decade ago
Given % is 20 & 50.
Let the 3rd no is 100.
Then for A = 20% more means number is 120.
Similarly for B number is 150.
Ratio 120: 150.
12:15.
4:5 (divide by 3 to both number ).
Let the 3rd no is 100.
Then for A = 20% more means number is 120.
Similarly for B number is 150.
Ratio 120: 150.
12:15.
4:5 (divide by 3 to both number ).
Yash said:
1 decade ago
I understand the method but why we add 100 in 20% and 50%. If we take third no is x so how a variable is added in 20% and 50%. But satish your method is simple and understood to me.
Sindhu said:
6 years ago
Let the third number be 100.
Then 20% of 100 is 20,
And 50% of 100 is 50,
Then the 1st number is 120,
The 2nd number is 150,
So, the ratio between 120 and 150 is 4:5.
Thanks.
Then 20% of 100 is 20,
And 50% of 100 is 50,
Then the 1st number is 120,
The 2nd number is 150,
So, the ratio between 120 and 150 is 4:5.
Thanks.
(1)
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).
Parikshit said:
1 decade ago
Question says that two numbers are 20% and 50% MORE THAN third no then it should be like this:
No third no = X.
No A = 120*X/100+X.
B = 150*X/100+X.
But it gives 22:25.
No third no = X.
No A = 120*X/100+X.
B = 150*X/100+X.
But it gives 22:25.
Gitty said:
1 decade ago
If you take x as 100 we will get 4:5..agreed. What is the problem in taking x as a variable itself..? Then the answer become 2:5,right..? could anyone please explain ?
Chex said:
10 years ago
Let x be the third value, hence.
20% of x = x+(20/100*x) = x+(x/5) = 6x/5.
50% of x = x+(50/100*x) = x+(x/2) = 3x/2.
Now ration is,
(6x/5)/(3x/2) = 12x/15x = 4/5.
20% of x = x+(20/100*x) = x+(x/5) = 6x/5.
50% of x = x+(50/100*x) = x+(x/2) = 3x/2.
Now ration is,
(6x/5)/(3x/2) = 12x/15x = 4/5.
Ramaniah said:
1 decade ago
Let us know the number is x.
Then 1st number is 1.2x.
Then the 2nd number is 1.5x.
The the ratio of two numbers are 1.2x:15x=> 1.2 :1.5 =>4:5.
Then 1st number is 1.2x.
Then the 2nd number is 1.5x.
The the ratio of two numbers are 1.2x:15x=> 1.2 :1.5 =>4:5.
Ramesh said:
1 decade ago
Dear xyz, it is not 20% and 50%, but it is 20% and 50% MORE THAN third number.
If third no is 100, it is 120 and 150
So, 120 : 150
12: 15 or
4:5
If third no is 100, it is 120 and 150
So, 120 : 150
12: 15 or
4:5
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