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.
Azeem said:
5 years ago
How do you get 4/75? should it not 4/25.
(3)
Jashuva said:
4 years ago
Nice explanation, Thanks @Pawan.
(2)
Sujith S said:
5 years ago
15A+12 = 16A - 12B pls explain this step.
(2)
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)
Shiva said:
1 decade ago
Any one can tell easy sol for this one?
(1)
N!t!$h said:
1 decade ago
I would suggest , keep 100 as it is and remove it from both sides
it makes it simple
(5A/100 + 4B/100) = 2/3(6A/100 + 8B/100)
Eleminating 100 from both the side...
3(5A + 4B) = 2(6A + 8B)
solving this
3A=4B
A/B = 4/3
Done ... Keep it Simple Silly ;)
it makes it simple
(5A/100 + 4B/100) = 2/3(6A/100 + 8B/100)
Eleminating 100 from both the side...
3(5A + 4B) = 2(6A + 8B)
solving this
3A=4B
A/B = 4/3
Done ... Keep it Simple Silly ;)
(1)
Ashik said:
5 years ago
Thanks @Nithish.
Ramesh said:
7 years ago
Easier way is;
5A+4B=2/3(6A+8B),
15A+12B=12A+16B,
3A=4B,
A/B = 4/3.
5A+4B=2/3(6A+8B),
15A+12B=12A+16B,
3A=4B,
A/B = 4/3.
Vaibhav said:
7 years ago
It is an easy method, Thanks @Nitish
Nithy said:
8 years ago
How it comes 4/75 in second step?
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