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 10 of 14.
Manas said:
1 decade ago
Out of three number, the first number and the second number are respectively 25% and 30% less then the third number. By what percentage is the second number less then the first?
Can any one solve the problem? Then please.
Can any one solve the problem? Then please.
Chex said:
1 decade ago
Let x be the third value, hence.
20% of x = x+(20/100*x) = x+(x/5) = 6x/5.
50% of x = x+(50/100*x) = x+(x/2) = 3x/2.
Now ration is,
(6x/5)/(3x/2) = 12x/15x = 4/5.
20% of x = x+(20/100*x) = x+(x/5) = 6x/5.
50% of x = x+(50/100*x) = x+(x/2) = 3x/2.
Now ration is,
(6x/5)/(3x/2) = 12x/15x = 4/5.
LOKESH ANAND said:
1 decade 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:
1 decade 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:
10 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.
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Ratio of first two numbers =
