# Aptitude - Ratio and Proportion - Discussion

Discussion Forum : Ratio and Proportion - General Questions (Q.No. 12)
12.
If 40% of a number is equal to two-third of another number, what is the ratio of first number to the second number?
2 : 5
3 : 7
5 : 3
7 : 3
Explanation:

 Let 40% of A = 2 B 3

 Then, 40A = 2B 100 3

 2A = 2B 5 3

 A = 2 x 5 = 5 B 3 2 3

A : B = 5 : 3.

Discussion:
23 comments Page 1 of 3.

Sasi said:   3 years ago
Here, given 40% a number = another number 2/3.
we can assume first num = a , second num = b.
Now 40% a = 2/3b.

We have % convert to 40/100 = 2/5.
2/5a = 2/3b,
a/b = (5/2)*(2/3),
a/b = 5/3.

So, the answer is a:b = 5:3.
(3)

Sinchana said:   3 years ago
Let the two numbers be x and y.
Given 40%(x)=2/3 * (y).
Solving;
40/100*(x) = 2/3*(y),
2/5*(x)=2/3*(y),
x/y = 5/3= 5:3.
(2)

Manjuu said:   4 years ago
Good explanation, thanks all.
(1)

GITARTHA said:   4 years ago
2A/5*2B/3.

NOW A/B=2/5*3/2,
A:B 3:5.

Then why 3:5 is not correct? please Explain.

Aman said:   5 years ago
x,y two number.

40/100*x=2/3y.

2/5*x=2/3*y,
1/5*x=1/3*y,
x=5 y=3.

Narsim said:   6 years ago
You are right, thanks @Pratika.

Neemish said:   7 years ago
40A/100=2B/3.

Cross multily we get,
120A=200B,
A/B=200/1200.
A/B=5:3.
(1)

Sairocky said:   7 years ago
40%=40/100*2/3(nothing but two-third),
divide by 20 you will get 2/5*2*3,

Cross multiplication.
10:6(both come in 2 table).
5:3.
(1)

Pratika said:   8 years ago
Given 40% i.e 40/100 = 2/5;

New ratio 2/5 : 2/3 = 6/10 = 3/5.

Rekha nayak said:   8 years ago
Please explain to me, why you have taken 2A/5 = 2B/3.