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 2 of 6.
Rasiga said:
4 years ago
@Tshering.
5A + 4B = 2/3 (6A+8B),
3(5A + 4B)=2(6A+8B),
15A + 12B = 12A+16B,
15A - 12A = 16B-12B.
3A = 4B,
A =4B/3,
A/B = 4/3.
5A + 4B = 2/3 (6A+8B),
3(5A + 4B)=2(6A+8B),
15A + 12B = 12A+16B,
15A - 12A = 16B-12B.
3A = 4B,
A =4B/3,
A/B = 4/3.
(170)
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?
Ravi said:
1 decade ago
@Allana.
3(5A + 4B) = 2(6A + 8B).
=> 15A+12B=12A+18B.
=> 15A-12A=16B-12B.
=> 3A=4B.
=> A/B=4/3.
3(5A + 4B) = 2(6A + 8B).
=> 15A+12B=12A+18B.
=> 15A-12A=16B-12B.
=> 3A=4B.
=> A/B=4/3.
MONIKA said:
6 months ago
Below 8 years = 20.
Above 8 years is 2/3 of 8 yrs,
8 Years = 48,
So, 2/3 * 48 = 32,
32 + 48 = 80,
80 + 20 = 100.
Above 8 years is 2/3 of 8 yrs,
8 Years = 48,
So, 2/3 * 48 = 32,
32 + 48 = 80,
80 + 20 = 100.
(4)
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.
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)
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.
Kapil Beniwal said:
1 decade ago
Yeah thank you it looks simple but ratio a:b is diff than b:a. We generally think and solve b:a.
Rakesh said:
9 years ago
3% of A = 4% of B.
So 3/100BA = 4/100B.
Now A/B = 4/100 * 100/3.
A/B = 4/3.
A:B = 4:3.
So 3/100BA = 4/100B.
Now A/B = 4/100 * 100/3.
A/B = 4/3.
A:B = 4:3.
Pawan said:
4 years ago
Simply; the solution is;
5A + 4B = 2/3(6A + 8B).
15A + 12B = 12A + 16B.
A/B = 4/3.
5A + 4B = 2/3(6A + 8B).
15A + 12B = 12A + 16B.
A/B = 4/3.
(27)
Madhulika said:
8 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.
15A+12B=12A+16B,
3A=4B,
A/B=4/3.
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