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 8 of 14.
Giri said:
1 decade ago
Let x be 3rd number then,
1st number is 20% greater than 3rd number,so 1st number is equal to
x+(x*(20/100)).
x(1+(20/100)).
x((100+20)/100).
x*(120/100).
That why we will add 100 to given percentage to find increase in it.
1st number is 20% greater than 3rd number,so 1st number is equal to
x+(x*(20/100)).
x(1+(20/100)).
x((100+20)/100).
x*(120/100).
That why we will add 100 to given percentage to find increase in it.
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 ).
Gaurav said:
1 decade ago
Confused guys. Please read the question carefully.
Its first and 2nd number is 20% and 50 % more than the third number.
Obviously that means that the third number should be 100% or you can take it as 100.
Its first and 2nd number is 20% and 50 % more than the third number.
Obviously that means that the third number should be 100% or you can take it as 100.
Narayana Rao Gartam said:
1 decade ago
Consider third number as 100, to do easy and better calculations.
Samira said:
1 decade ago
Hey @Satish how you get 1.2 & 1.5 ?
Hemant said:
1 decade ago
100+20:100+50 = 120:150 = 4:5.
Kavinraj said:
1 decade ago
Hi.
my explanation is, assume your 3rd num is 10,
20%of 10=2 so 1st no is 12.
50%of 10=5, so 2nd no is 15.
So ratio of 12:15 = 4:5.
my explanation is, assume your 3rd num is 10,
20%of 10=2 so 1st no is 12.
50%of 10=5, so 2nd no is 15.
So ratio of 12:15 = 4:5.
Svs said:
1 decade ago
Hi, I really confuse.
Please clear my doubt.
Which is correct answer? Please tell.
@Sathya said 2:5.
Anyone tell correct answer?
Please clear my doubt.
Which is correct answer? Please tell.
@Sathya said 2:5.
Anyone tell correct answer?
Akshay said:
1 decade ago
@Nive.
Method is actually according to the question approach. Its is valid.
a = c+20%.
b = c+50%.
a/b = 100c+20/100c+50.
Now c definitely having some value so consider it as 1 we can't consider it as 0 because it has some value and on other hand we have to consider it as 1 because it has some non zero value.
So a/b = 0.8 i.e. 4/5.
Method is actually according to the question approach. Its is valid.
a = c+20%.
b = c+50%.
a/b = 100c+20/100c+50.
Now c definitely having some value so consider it as 1 we can't consider it as 0 because it has some value and on other hand we have to consider it as 1 because it has some non zero value.
So a/b = 0.8 i.e. 4/5.
Rosh said:
1 decade ago
Let 3rd no be x then.
(x+120/100):(x+150/100).
Take LCM 100 gets cancelled.
100x+120 = 100x+150.
We get 120 = 150.
So 4 : 5.
(x+120/100):(x+150/100).
Take LCM 100 gets cancelled.
100x+120 = 100x+150.
We get 120 = 150.
So 4 : 5.
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