Aptitude - Ratio and Proportion - Discussion

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"Weakness of attitude becomes weakness of character."

- Albert Einstein

Two numbers are respectively 20% and 50% more than a third number. The ratio of the two numbers is:

[A].	2 : 5	[B].	3 : 5
[C].	4 : 5	[D].	6 : 7

Answer: Option E

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

Ganapathy said: (Wed, Jul 7, 2010 12:35:14 PM)

Let third no be 100. the first no is 20% more than third so 120 similarly second no is 50% more than third so 150 just compare 120:150 4:5

Sheetal said: (Thu, Jul 29, 2010 01:31:34 AM)

Suppose the 3rd no is X. so 1st no will be X1.2. &2nd no will be X1.5. so the ratio is 1.2:1.5, Hence 4:5

Xyz said: (Sat, Jan 22, 2011 03:42:17 AM)

20%=1/5 50%=1/2 So ratio should be equal to 1/5:1/2 Ans= 2:5 ?

Ramesh said: (Thu, Feb 10, 2011 06:17:12 AM)

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: (Wed, Feb 23, 2011 10:57:27 AM)

Why should take the value of third no is 100 only? why not 60, 70, 80.

Suganya.P said: (Mon, Jun 13, 2011 08:16:40 AM)

I do know understand this concepts please explain.

Sumit said: (Fri, Jun 24, 2011 12:23:56 AM)

Let it be of 100. It is most convennience.

Sathi said: (Fri, Jul 1, 2011 10:28:35 PM)

Take A,B,C as three numbers A is 20% more than C A=C+20%of C=C+0.2C=1.2C same way B=C+50%of(C)=C+0.5C=1.5C ratio A/B=1.2C/1.5C=4/5 Ans 4/5

Haseeb Siddiqi said: (Mon, Jul 11, 2011 07:15:53 AM)

Ramesh's method is good and easy.

Naveen said: (Sat, Jul 16, 2011 05:20:08 AM)

Take 10 and 20% more than 10 is 12 and 50% more than 10 is 15 so the ratio is 12:15 which is nothing but 4:5 .

Priyabrata Muduli said: (Sun, Sep 18, 2011 07:45:54 AM)

Sathi's concept is right.

Abhishek said: (Sun, Oct 2, 2011 08:03:48 PM)

I took x:x+20:x+50 then i assumed x+(x+20)+(x+50)=100 3x+70=100 x=10 hence the ration is 30/60 1/2 where did i go wrong?

Ali said: (Fri, Nov 4, 2011 01:58:26 AM)

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....

Enigma said: (Sun, Jan 8, 2012 10:32:14 AM)

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

Gitty said: (Wed, Feb 1, 2012 10:11:01 PM)

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 ?

Satish Rathnam said: (Fri, Feb 10, 2012 04:29:24 PM)

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