Aptitude - Percentage - Discussion

Discussion Forum : Percentage - General Questions (Q.No. 8)
8.
Two numbers A and B are such that the sum of 5% of A and 4% of B is two-third of the sum of 6% of A and 8% of B. Find the ratio of A : B.
2 : 3
1 : 1
3 : 4
4 : 3
Answer: Option
Explanation:

5% of A + 4% of B = 2  (6% of A + 8% of B)
3

5  A + 4  B = 2 6  A + 8  B
100 100 3 100 100

1  A + 1  B = 1  A + 4  B
20 25 25 75

1 - 1  A =  4 - 1  B
20 25 75 25

1  A = 1  B
100 75

A = 100 = 4 .
B 75 3

Required ratio = 4 : 3

Video Explanation: YouTube Video

Discussion:
53 comments Page 3 of 6.

Ramesh said:   8 years ago
Easier way is;

5A+4B=2/3(6A+8B),
15A+12B=12A+16B,
3A=4B,
A/B = 4/3.

Nithy said:   8 years ago
How it comes 4/75 in second step?

Vaibhav said:   8 years ago
It is an easy method, Thanks @Nitish

Sankar said:   7 years ago
Thanks @Nithish.

Vishal don said:   7 years ago
Thanks @Nitish.

Sanjay said:   6 years ago
How we can take 3:4 to 4:3?

Pankaj said:   6 years ago
Thank you @Nitish.

Ashik said:   5 years ago
Thanks @Nithish.

Madhulika said:   9 years ago
5% of A+4% of B=2/3(6% of A+8%of B).

15A+12B=12A+16B,
3A=4B,
A/B=4/3.

Vaibhav said:   1 decade ago
5a+4b = 2/3(6a+8b).

15a+12b = 12a+16b.

a/b = 4/3.

So ratio is 4:3.


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