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:
2 : 5
3 : 5
4 : 5
6 : 7
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.

ALI said:   1 decade ago
Hey guys plz don't bother!
let us make it simple...
it was said that first number is 20% more than third number
and second number is 50% more than third number..
now,
we assume the third number is "x".
we all know that "x" means "1x" not just "x"

so 20% more and 50% more than third number means
(20%)+(1x) and (50%)+(1x)
=(0.2)+(1x) and (0.5)+(1x)
=1.2x and 1.5x
now
1.2 : 1.5
let us forget the decimal and assume it 12 : 15
now simplify 12 : 15
i.e divide it by 3.
you'll get 4:5

that's it....
(1)

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.
(1)

Anomie said:   7 years ago
@All who have a doubt that why does 100 only comes in place of x.

It is so because percentage is always 100. Therefore x = 100.
(1)

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.
(1)

SUNIDHI SANDEEP KONDEKAR said:   2 months ago
Yes, option C 4:5 is the right answer.
(1)

Ramesh said:   1 decade ago
120/100 : 150/100
120:150
12:15
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

Sridhar said:   1 decade ago
Why should take the value of third no is 100 only? why not 60, 70, 80.

Sathya said:   1 decade ago
Let 3rd no is x
20%of x=(20/100)*x
50%of x=(50/100)*x
1/5x:1/2x
ans=2:5

SUGANYA.P said:   1 decade ago
I do know understand this concepts please explain.


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