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:
135 comments Page 7 of 14.
Rashid ali said:
9 years ago
The correct answer is 2:5.
I'm explaining bellow 20% means X is multiplied with 100.
For example : 95% of 80 = 80 * 95/100 = 76.
If you are agree with this concept then,
20% = 20/100 and 50/100.
20% = 1/5 and 50% = 1/2
A 1/5 : B 1/2 =2 : 5.
Hence answer is 2 : 5.
I'm explaining bellow 20% means X is multiplied with 100.
For example : 95% of 80 = 80 * 95/100 = 76.
If you are agree with this concept then,
20% = 20/100 and 50/100.
20% = 1/5 and 50% = 1/2
A 1/5 : B 1/2 =2 : 5.
Hence answer is 2 : 5.
Abinash said:
9 years ago
If a and b incomes are in the ratio 9:4. Their expenditure are 8:3. Each saves rs 2500. Then expenditure of b?
Please tell me the answer for this.
Please tell me the answer for this.
Cik_nani said:
9 years ago
How do you get 120/100? And how do you get the answer 6 over 5? I'm confused. Please clarify me.
Shahjahan said:
9 years ago
How you get 120 and 150? Confused. Please help me.
Anjaney said:
9 years ago
@Kunal.
It is 100 because ratio should be treated as 100.
It is 100 because ratio should be treated as 100.
Rakesh said:
9 years ago
@Ganapathy concept is very nice.
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)
Dibya said:
9 years ago
Sathi concept is good.
Manish kumar said:
9 years ago
What to do, if asked for third number?
Sameer khan said:
9 years ago
Ganapathy and Ramesh concept are easy and right.
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