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 3 of 6.

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

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

a/b = 4/3.

So ratio is 4:3.

Dharshini said:   9 months ago
@All.

Here's my explanation.
5 : 4
6 : 8
5 * 8 = 6 * 4.
40/24 = 4:3.
(54)

Ramesh said:   7 years ago
Easier way is;

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

PARUL said:   1 decade ago
3(5A+4B) = 2(6A+8B).
15A-12A = 16B-12B.
3A = 4B.
A:B = 4:3.

Romita said:   1 decade ago
4/75-1/25 is not equal to 1/75 then hw a/b is equal to 4/3

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

Sharika said:   10 years ago
We have to cross multiply if there is denominator value?

Daemon said:   2 years ago
Anyone, please explain this step 15A+12B=12A+16B?
(12)

Tshering said:   4 years ago
I got 3:4 can anyone explain why answer is 4:3?
(13)

Sobana said:   4 weeks ago
I got 3:4.
I can't understand. How come 4:3?


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