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
Answer: Option
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:
26 comments Page 2 of 3.

Subha said:   1 year ago
2A/5 = 2B/3.
2A/5 ×15 = 2B/3×15,
6A = 10B.
A/B = 5/3.

GITARTHA said:   5 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:   7 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:   8 years ago
You are right, thanks @Pratika.

Raghu said:   1 decade ago
why are we not taking as 140 (40+100)in this case??

Tejashri said:   9 years ago
No, @Mehak. It's wrong.

MEHAK said:   9 years ago
A/B = 2/5 X 3/2.
A/B = 6/10.
A/B = 3/5.

Am I right?

Sanjeev said:   10 years ago
Please explain me Why you have taken 2b/3?

Swagger said:   1 decade ago
@Kusu you said why not 3:5:

Let say:

2A/5 = 2B/3.

First number being A and second number being B.

The question asked for the ratio of the first number to the second.

That means you got to get it into this form: A/B or A:B.

So rearrange 2A/5 = 2B/3 to get A/B = 5/3.

Therefore the ratio is of A:B is 5:3.

Shrey said:   1 decade ago
Ratio are given as 2:3:5.

200:300:500 (assume).

As 15% (230), 10% (330) and 20% (100) are respective increase in salaries.

New ratio 200:300:500.

230:330:600.

Answer = 23:33:60.

Answer comes in about 15 sec.


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