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 14 of 14.
Rohith said:
1 year ago
Let x first number is 100 , 20% is more i.e; 120.
Let y second number is 100, 50% is more i.e; 150.
So, 120 : 150 is 4 : 5.
Let y second number is 100, 50% is more i.e; 150.
So, 120 : 150 is 4 : 5.
(45)
Sravya said:
1 year ago
Here third nbr 100 say.
20%,50%is more than 100 respectively.
then;
120 %, 150%, 100%.
120 : 150 : 100.
120 : 150.
4 : 5.
20%,50%is more than 100 respectively.
then;
120 %, 150%, 100%.
120 : 150 : 100.
120 : 150.
4 : 5.
(120)
Katyani said:
1 year ago
Very helpful. Thanks everyone.
(14)
SUNIDHI SANDEEP KONDEKAR said:
9 months ago
Yes, option C 4:5 is the right answer.
(2)
Abii said:
4 months ago
@Suhel Patel.
How did you take the third number as 100? Anyone, explain to me.
How did you take the third number as 100? Anyone, explain to me.
(5)
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)
Sadara said:
2 months ago
Thanks all for explaining.
(3)
Aryan said:
1 month ago
Let the *third number = x*.
Then:
* First number is **20% more than x*
(x + 20%x = x + 0.2x = 1.2x)
* Second number is **50% more than x*
(x + 50%x = x + 0.5x = 1.5x)
So the two numbers are:
1.2x and 1.5x.
Now find the ratio: [1.2x : 1.5x]
Cancel x: [1.2 : 1.5]
Multiply both by *10* to remove decimals:
[12 : 15]
Divide by 3: [4 : 5].
Then:
* First number is **20% more than x*
(x + 20%x = x + 0.2x = 1.2x)
* Second number is **50% more than x*
(x + 50%x = x + 0.5x = 1.5x)
So the two numbers are:
1.2x and 1.5x.
Now find the ratio: [1.2x : 1.5x]
Cancel x: [1.2 : 1.5]
Multiply both by *10* to remove decimals:
[12 : 15]
Divide by 3: [4 : 5].
(5)
AkashDas said:
3 weeks ago
Let a, b, c.
Let c = 100.
a = 120.
b = 150.
So, a: b = 4: 5.
Let c = 100.
a = 120.
b = 150.
So, a: b = 4: 5.
(3)
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.
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