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.
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 4 of 6.
Sharika said:
10 years ago
We have to cross multiply if there is denominator value?
Vana said:
10 years ago
Please why are we multiplying 2/3 by the both sides of the equation, like why the 3 in the left hand side and the 2 in the right hand side? I have never seen someone doing this?
Mazher said:
10 years ago
Can anyone tell me why we take 2/3 and multiply 3 in the left and the 2 in the right?
That's the first time seeing this property?
That's the first time seeing this property?
Amrit said:
10 years ago
Mohit if 4B = 3A then we can consider 4*B = 3*A and now when you will simplify it as A/B will become A/B = 4/3 it means the ratio is A:B = 4:3.
(1)
Mohit said:
1 decade ago
Why is the answer like this can you tell me?
Narendra umraiya said:
1 decade ago
5% of A + 4% of B = 2/3*(6% of A+8% of B).
Take % common.
3(5A+4B) = 2(6A+8B).
4B = 3A.
A/B = 4/3 = 4:3.
Take % common.
3(5A+4B) = 2(6A+8B).
4B = 3A.
A/B = 4/3 = 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.
15a+12b = 12a+16b.
a/b = 4/3.
So ratio is 4:3.
Rama krishna mahapatra said:
1 decade ago
Let us take x = 2 and y = 3.
If we find x/y,
Then we write x/y = 2/3.
Similarly here x/y = 4/3.
Here x = 4 and y = 3.
=>x:y = 4:3.
If we find x/y,
Then we write x/y = 2/3.
Similarly here x/y = 4/3.
Here x = 4 and y = 3.
=>x:y = 4:3.
Lewisk said:
1 decade ago
Why is the answer 4:3?
3 is associated with a and 4 with b.
Therefore a/b = 3:4.
Can someone explain why it is vice-versa?
3 is associated with a and 4 with b.
Therefore a/b = 3:4.
Can someone explain why it is vice-versa?
PARUL said:
1 decade ago
3(5A+4B) = 2(6A+8B).
15A-12A = 16B-12B.
3A = 4B.
A:B = 4:3.
15A-12A = 16B-12B.
3A = 4B.
A:B = 4:3.
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