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 3 of 14.

SHAIK MANSOOR said:   5 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:   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.

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.

Samm said:   4 years ago
How to solve if we have been asked the 2nd number is greater than 100.

Like, Two numbers are respectively 40% and 110% more than a third number. The ratio of the two numbers is:?

Anyone, please help me.
(9)

Suhel Patel said:   1 year ago
Let, the third number is 100.
now the first is 20% more than 3rd number = 120.
and the second number is 50% more than the 3rd number = 150.

Then, 1 num : 2 num.
120 : 150.

So, the answer is 4:5.
(47)

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.

Lokesh said:   2 years ago
@Sujaathasree.

If the percentage increases or mentioned directly we can take it as 100+20% since the percentage increases directly to 100 and if loss or decrease by 20% then we should do 100-20%.
(17)

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).

Rahul kumawat said:   3 years ago
Suppose the 3rd number is x.
Then first no. will be more than 20% of third no.
So first no.=x+20x/100=6x/5.
second n0.=x+50x/100=3x/2.
so, the ratio of first and second no.=6x/5*2/3x=4:5.
(39)

Vamshi said:   1 decade ago
Let the third number be x = 100.

The first number is 20% more than third number so 100+20% = 120.

The second number is 50% more than third number so 100+50% = 150.

= 120:150 = 4:5.


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