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:
52 comments Page 2 of 6.

Sujith S said:   5 years ago
15A+12 = 16A - 12B pls explain this step.
(2)

Azeem said:   5 years ago
How do you get 4/75? should it not 4/25.
(3)

Ashik said:   5 years ago
Thanks @Nithish.

Pavi said:   5 years ago
Hi,

5A + 4B = 2/3(6A+8B),
15A + 12B = 12A+16B,
15A - 12A = 16B-12B,
3A = 4B,
A/B = 4/3.
So, the answer is 4:3.
(3)

AMIt said:   5 years ago
5A+4B = 2/3(6A+8B),
15A+12B = 12A+16B,
3A = 4B,
A/B = 4/3.
(4)

Pankaj said:   5 years ago
Thank you @Nitish.

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

Vishal don said:   6 years ago
Thanks @Nitish.

Sankar said:   7 years ago
Thanks @Nithish.

Vaibhav said:   7 years ago
It is an easy method, Thanks @Nitish


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