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:
140 comments Page 9 of 14.

Samira said:   1 decade ago
Hey @Satish how you get 1.2 & 1.5 ?

Hemant said:   1 decade ago
100+20:100+50 = 120:150 = 4:5.

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?

Akshay said:   1 decade ago
@Nive.

Method is actually according to the question approach. Its is valid.

a = c+20%.

b = c+50%.

a/b = 100c+20/100c+50.

Now c definitely having some value so consider it as 1 we can't consider it as 0 because it has some value and on other hand we have to consider it as 1 because it has some non zero value.

So a/b = 0.8 i.e. 4/5.

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.

Abhinav said:   1 decade ago
Let number = x, y, z.

Then, x = 20% of z + z = 6z/5.

y = 50% of z + z = 3z/2.

Ratio is x/y = 4/5.

B.lingaswamyyadav said:   1 decade ago
Let the third number will taken as 100.

= 120/100 = 150/100 = 12 = 15.

= 4 = 5.

Niz said:   1 decade ago
If a, b, c.

a = c + 20% of c.

i.e a = c + 20/100*c.

a = c + 0.2 c.

i.e 1.2 c.

Also b = c + 50% of c.

i.e b = c + 50/100*c b = c + 0.5 c.

i.e 1.5 c.

Ratio between three numbers.

= 1.2 c : 1.5 c : c.

= 1.2 : 1.5.

i.e 4 : 5.

Jaity said:   1 decade ago
But why did we took 120% instead of 20% and 150% in place of 50%?


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