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 10 of 14.

Trimu said:   7 years ago
Let, The 3rd number be 100.

Then the 1st number is more than 20% than the 3rd number so 100+20=120.
Similarly, 2nd number is 100+50= 150.
Now the ratio of two numbers,
120:150,
4:5.
(1)

Anomie said:   7 years ago
@All who have a doubt that why does 100 only comes in place of x.

It is so because percentage is always 100. Therefore x = 100.
(1)

Sushant pal said:   7 years ago
a : b:

20%:50%
20/100 = 2/5
50/100 = 1/2
a:b :: c:d.
2:5 :: 1:2.
= answer 5:4 or 5/4.

Bindu D K said:   6 years ago
20%= 120.
50% = 150.
120:150 = 120/150 = 4:5.

Sindhu said:   6 years ago
Let the third number be 100.
Then 20% of 100 is 20,
And 50% of 100 is 50,
Then the 1st number is 120,
The 2nd number is 150,
So, the ratio between 120 and 150 is 4:5.

Thanks.
(1)

Aabir said:   6 years ago
I could not understand it. Please explain it.

Prashant said:   5 years ago
Why we convert this 20% to 120%?

Arya said:   5 years ago
How you get to know that third number is 100? Please explain.

Ugyen Dema said:   5 years ago
I am getting 2:5. Please anyone explain the answer clearly.

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.


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