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 5 of 14.

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 ).

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.

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.

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?

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.

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.

Abhinav said:   1 decade ago
Let number = x, y, z.

Then, x = 20% of z + z = 6z/5.

y = 50% of z + z = 3z/2.

Ratio is x/y = 4/5.


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