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:
140 comments Page 4 of 14.
CMREC said:
3 months ago
OPTION:C.
Let the third number be x.
20%x = 0.2x (and the number is more than a third of the number that is x) then,
=>x+0.2x = 1.2x,
50%x = 0.5x,
=>x+0.5x = 1.5x.
12:15=>4:5
Let the third number be x.
20%x = 0.2x (and the number is more than a third of the number that is x) then,
=>x+0.2x = 1.2x,
50%x = 0.5x,
=>x+0.5x = 1.5x.
12:15=>4:5
(6)
Vamshi said:
1 decade ago
Let the third number be x = 100.
The first number is 20% more than third number so 100+20% = 120.
The second number is 50% more than third number so 100+50% = 150.
= 120:150 = 4:5.
The first number is 20% more than third number so 100+20% = 120.
The second number is 50% more than third number so 100+50% = 150.
= 120:150 = 4:5.
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)
Vaishnavi Nigaltiya said:
3 days ago
Hi! It doesn't make a difference whether we use 20% of x + x or 50% of x + x, right?
And do we apply the method of cross-multiplication while solving for 6/5 : 3/2?
Please explain.
And do we apply the method of cross-multiplication while solving for 6/5 : 3/2?
Please explain.
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:
7 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 ?
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