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:
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 7 of 14.
LOKESH ANAND said:
10 years ago
Let third number is 100.
Than 20% of third = 20 & 50% of third 50.
Than first number = 120(100+20).
Then second number = 150(100+50).
By question, Ratio of two number = First number:Second number.
= 120:150 = 4:5.
Than 20% of third = 20 & 50% of third 50.
Than first number = 120(100+20).
Then second number = 150(100+50).
By question, Ratio of two number = First number:Second number.
= 120:150 = 4:5.
Ramanan said:
10 years ago
Let the third number be x given that:
x+20% : x+50%.
x+0.2 : x+0.5.
(we know x is '1x').
So, 1x+0.2 : 1x+0.5.
= 1.2x : 1.5x.
(To remove decimal points we are multiply in both sides by 10).
= 1.2x*10 : 1.5x*10.
= 12x : 15x.
By simplifying,
= 4 : 5.
(x will get cancelled when 12x/15x).
x+20% : x+50%.
x+0.2 : x+0.5.
(we know x is '1x').
So, 1x+0.2 : 1x+0.5.
= 1.2x : 1.5x.
(To remove decimal points we are multiply in both sides by 10).
= 1.2x*10 : 1.5x*10.
= 12x : 15x.
By simplifying,
= 4 : 5.
(x will get cancelled when 12x/15x).
Harshitta said:
10 years ago
How to calculate to 1.2 and 1.15? How to get answer 4 = 5? I can't understand.
Shafai Rizvi said:
9 years ago
@Harshitta.
It is 1.2 and 1.5 (not 1.15).
So now simplify it,
= 1.2/1.5 (points cancel out).
= 12/15 (cancel out by 3).
= 4/5.
It is 1.2 and 1.5 (not 1.15).
So now simplify it,
= 1.2/1.5 (points cancel out).
= 12/15 (cancel out by 3).
= 4/5.
Maha said:
9 years ago
Lets us take c value as 100 then a value is 20% more.
So, c becomes 120
Similarly, b becomes 150 then, 120 : 150 becomes 4:5.
So, c becomes 120
Similarly, b becomes 150 then, 120 : 150 becomes 4:5.
Sameer khan said:
9 years ago
Ganapathy and Ramesh concept are easy and right.
Manish kumar said:
9 years ago
What to do, if asked for third number?
Dibya said:
9 years ago
Sathi concept is good.
Manishanaveen said:
9 years ago
The third number be x.
Let a and b are two numbers with more than 20% and 50% of x.
a = x + 20%x.
b = x + 50%x.
We should find ratio a : b.
a/b = (x + 20%x)/(x + 50%x) we know % converted into (/100),
a/b = (x + 20x/100)/(x + 50x/100),
so we get a/b = (100x + 20X/100x + 50x).
a/b = (120x/150x)
a/b = 4/5.
Ratio of a = 4 and b = 5.
Shortcut: So just us 100 as x for removing %
a =100 + 20.
b =100 + 50.
a : b = 120 : 150.
And hence a/b = 12/15.
a/b = 4 : 5
Let a and b are two numbers with more than 20% and 50% of x.
a = x + 20%x.
b = x + 50%x.
We should find ratio a : b.
a/b = (x + 20%x)/(x + 50%x) we know % converted into (/100),
a/b = (x + 20x/100)/(x + 50x/100),
so we get a/b = (100x + 20X/100x + 50x).
a/b = (120x/150x)
a/b = 4/5.
Ratio of a = 4 and b = 5.
Shortcut: So just us 100 as x for removing %
a =100 + 20.
b =100 + 50.
a : b = 120 : 150.
And hence a/b = 12/15.
a/b = 4 : 5
(2)
Rakesh said:
9 years ago
@Ganapathy concept is very nice.
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