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 10 of 14.

Narayana Rao Gartam said:   1 decade ago
Consider third number as 100, to do easy and better calculations.

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.

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 ).

Giri said:   1 decade 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.

Gok said:   1 decade ago
Please clearly say why you added 100 in 20% and 50%?

NAMAN said:   1 decade ago
Ratio is 1.2 : 1.5 : 1.

= 12 : 15 : 10.

= 4 : 5 : 1.

Hence 4 : 5.

NISHANT RAJ said:   1 decade ago
Very simple method is:

Let assume that 3th number is = 100.

Then,

a/c to ques. A = 120.

B = 150.

Ratio of number A/B = 120/150.

= 4/5.

A:B = 4:5 (ANS. C).

Nive said:   1 decade ago
We know there are 3 numbers.

Think.,
1st one X.
2nd one Y.
3rd one Z.

Then assume that Z's value a.

Now X=a+20%.
Y=a+50%.

Put a=10.

Now we get X=12; Y=15.

So the ratio of X and Y is 4:5.

Hassan said:   1 decade ago
Suppose a number,

100____120.

100 ___150.

Hence the numbers are increasing by 20 and 50%

120 : 150.

12 : 15.

4 : 5.

Hussain Ali said:   1 decade 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.

Hence answer is:4/5.


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