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 3 of 6.
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?
Sharika said:
10 years ago
We have to cross multiply if there is denominator value?
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.
Ayeshu said:
9 years ago
Nice explanation @Nitish.
Abbas said:
9 years ago
Why are we moving 3 of the 2/3 on that side?
Veer areddy .D said:
8 years ago
Good explanation. Thank you all.
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.
Ramakrishna said:
8 years ago
Thanks @Madhulika.
Rabab said:
8 years ago
But how cam we eliminate that 100 here?
Renu said:
8 years ago
Explain in detail, please.
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