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 4 of 14.

N.PRASANTH said:   4 years ago
120/100:150/100
= 120:150,
= 12:15,
= 4:5.
(4)

Morepankh said:   4 years ago
ATP,

1st no., Is 20% more than 3rd no.
Let 3rd no., be x;

Then, 1st no.,=(20/100)*x+x.
2nd no.,=(50/100)*x+x.
Finally,
1st = 120x/100.
2nd = 150x/100.
3rd = x.

Ratio required = 120x/100:150x/100.
= 4:5.

Ayushi said:   5 years ago
Thanks @Ali.

Preetam paul said:   5 years ago
How come 120 percent? Please explain.

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.

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

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

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

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

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)


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