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 5 of 14.

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.

Sathi said:   1 decade ago
Take A,B,C as three numbers

A is 20% more than C

A=C+20%of C=C+0.2C=1.2C

same way

B=C+50%of(C)=C+0.5C=1.5C

ratio A/B=1.2C/1.5C=4/5

Ans 4/5

Ganapathy said:   2 decades ago
Let third no be 100.
the first no is 20% more than third so 120
similarly
second no is 50% more than third so 150
just compare
120:150
4:5
(2)

Kavinraj said:   1 decade ago
Hi.
my explanation is, assume your 3rd num is 10,

20%of 10=2 so 1st no is 12.
50%of 10=5, so 2nd no is 15.

So ratio of 12:15 = 4:5.

Svs said:   1 decade ago
Hi, I really confuse.
Please clear my doubt.

Which is correct answer? Please tell.
@Sathya said 2:5.

Anyone tell correct answer?

Rosh said:   1 decade ago
Let 3rd no be x then.

(x+120/100):(x+150/100).

Take LCM 100 gets cancelled.

100x+120 = 100x+150.

We get 120 = 150.

So 4 : 5.

Enigma said:   1 decade ago
How can one add a costant n a variable?
dats wrong..!
its simply..
x=20/100*z+z
y=50/100*z +z
if z is taken as the third no.. :)

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.

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)

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.


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