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:
133 comments Page 11 of 14.

Ramaniah said:   1 decade ago
Let us know the number is x.

Then 1st number is 1.2x.

Then the 2nd number is 1.5x.

The the ratio of two numbers are 1.2x:15x=> 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.

Neethukasi said:   1 decade ago
Ya ramesh's method is more easy.

Bharadwaj said:   1 decade ago
Sathish ratnam was explained very well.

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.

Prashant said:   1 decade ago
20% of 'x' + 'x' (20% more than third number)
=> 120/100x

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

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 ?

Sasa said:   1 decade ago
Ali and ganapathy good work :).

Enigma said:   1 decade ago
How can one add a costant n a variable?
dats wrong..!
its simply..
x=20/100*z+z
y=50/100*z +z
if z is taken as the third no.. :)


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