# 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
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:
117 comments Page 2 of 12.

Juke said:   6 years ago
Here is my solution.

Let,
x be the first num.
y be the 2nd.
z be the 3rd.

x is larger than z by 20% so,
x=1.2z : z=x/1.2.
y is larger than z by 50% so.
y = 1.5z : z = y/1.5.
Equate z,
x/1.2 = y/1.5.
x/y = 1.2/1.5.
x/y = 4/5.

4:5.

Giri said:   9 years 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.

Manas said:   8 years ago
Out of three number, the first number and the second number are respectively 25% and 30% less then the third number. By what percentage is the second number less then the first?

Can any one solve the problem? Then please.

LOKESH ANAND said:   8 years ago
Let third number is 100.

Than 20% of third = 20 & 50% of third 50.

Than first number = 120(100+20).

Then second number = 150(100+50).

By question, Ratio of two number = First number:Second number.

= 120:150 = 4:5.

Morepankh said:   2 years ago
ATP,

1st no., Is 20% more than 3rd no.
Let 3rd no., be x;

Then, 1st no.,=(20/100)*x+x.
2nd no.,=(50/100)*x+x.
Finally,
1st = 120x/100.
2nd = 150x/100.
3rd = x.

Ratio required = 120x/100:150x/100.
= 4:5.

Satish rathnam said:   1 decade ago
ok mr.gitty take 'x' only. u will get 4:5

=>1st number :2nd number

=> 20% more than X : 50% more than X

=> now cancel "more than X" on both sides

=> 20% : 50 %

=> 1.2 : 1.5

=> 4:5

Sajal Das said:   1 decade ago
Let the 2 Nos are A and B and the 3rd No. is C.

According to the question A is 20% more than C. i.e., A=(1.2)C and B is 50% more than C. i.e., B=(1.5)C.

And so the ratio is {(1.2)C}/{(1.5)C} = 4/5 , i.e., 4:5.

SHAIK MANSOOR said:   3 years ago
They said comparing both 1st & 2nd third parts is less and it is Percentage. So For third part take it as 100%.

Then for 1st part 120% & 2nd part 150%.
Then 120% : 150% : 100%. Then the answers is 4:5.

Gaurav said:   9 years ago

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.

Hussain Ali said:   10 years ago
Let A, B, C are three numbers.

A is 20% more than C.

So A become:

A= C+20%of C = C+0.2C = 1.2C.

B become:
B= C+50%of(C)= C+0.5C = 1.5C.

And ratio between A/B is:
1.2C/1.5C = 4/5.