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 1 of 6.
Sobana said:
4 weeks ago
I got 3:4.
I can't understand. How come 4:3?
I can't understand. How come 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)
Dharshini said:
9 months ago
@All.
Here's my explanation.
5 : 4
6 : 8
5 * 8 = 6 * 4.
40/24 = 4:3.
Here's my explanation.
5 : 4
6 : 8
5 * 8 = 6 * 4.
40/24 = 4:3.
(54)
UNKNOWN said:
1 year ago
Sum of both sides is a percentage initially removing the percentage than the remaining value with A and B.
5A + 4B = 2/3(6A+8B).
15A + 12B = 12A + 16B.
3A = 4B.
A/B = 4/3.
A:B = 4:3.
5A + 4B = 2/3(6A+8B).
15A + 12B = 12A + 16B.
3A = 4B.
A/B = 4/3.
A:B = 4:3.
(93)
Daemon said:
2 years ago
Anyone, please explain this step 15A+12B=12A+16B?
(12)
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)
Prasanna said:
4 years ago
Thank you for explaining @Nitish.
(4)
Tshering said:
4 years ago
I got 3:4 can anyone explain why answer is 4:3?
(13)
Jashuva said:
4 years ago
Nice explanation, Thanks @Pawan.
(2)
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)
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