Aptitude - Alligation or Mixture - Discussion
Discussion Forum : Alligation or Mixture - General Questions (Q.No. 3)
3.
A can contains a mixture of two liquids A and B is the ratio 7 : 5. When 9 litres of mixture are drawn off and the can is filled with B, the ratio of A and B becomes 7 : 9. How many litres of liquid A was contained by the can initially?
Answer: Option
Explanation:
Suppose the can initially contains 7x and 5x of mixtures A and B respectively.
| Quantity of A in mixture left = |  |
7x - | 7 | x 9 |  |
litres = | |
7x - | 21 | litres. |
| 12 | 4 |
| Quantity of B in mixture left = | |
5x - | 5 | x 9 | |
litres = | |
5x - | 15 | litres. |
| 12 | 4 |
 |
|
= | 7 | |||||
|
9 |
 |
28x - 21 | = | 7 |
| 20x + 21 | 9 |
252x - 189 = 140x + 147
112x = 336
x = 3.
So, the can contained 21 litres of A.
Discussion:
101 comments Page 11 of 11.
Deepu said:
2 months ago
Let's assume B is reduced by x.
Then 7/12 X "x"=7/16 {A in intial 7/12 and left 7/16}
x=3/4, so reduce by 1/4.
If reducing by 1/4 requires the removal 9L.
Then full amount removal required 36L---Capacity of vessel{1/4part=9L}.
36l x 7/12 = 21L of A.
Then 7/12 X "x"=7/16 {A in intial 7/12 and left 7/16}
x=3/4, so reduce by 1/4.
If reducing by 1/4 requires the removal 9L.
Then full amount removal required 36L---Capacity of vessel{1/4part=9L}.
36l x 7/12 = 21L of A.
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