Question: 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.
[A].2 : 3
1 : 1
3 : 4
4 : 3
[A].
[B].
[C].
[D].
Answer: Option D
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