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 | ![]() |
12 | 4 |
Quantity of B in mixture left = | ![]() |
5x - | 5 | x 9 | ![]() |
litres = | ![]() |
5x - | 15 | ![]() |
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:
100 comments Page 8 of 10.
Rushita said:
1 decade ago
How is it possible? please give me some explanation.
Vaishali said:
1 decade ago
7:5.
7:9.
7+5 = 12.
9-5 = 4.
9/12*4 = 3.
3*7 = 21.
7:9.
7+5 = 12.
9-5 = 4.
9/12*4 = 3.
3*7 = 21.
Gopika S S said:
9 years ago
Thanks @Srividhya, your explanation is much better.
Kiran said:
10 years ago
Hi.
Can you explain me why we take 7/12 and 5/12?
Can you explain me why we take 7/12 and 5/12?
Siddhesh said:
10 years ago
Can any one tell me how we calculate (5x-15/4)+9?
Unknown said:
1 decade ago
Can't we find it by forming two linear equations?
Prithvi chauhan said:
1 decade ago
Please can you explain in any other simple way?
Priyanka kumari said:
9 years ago
Please, can anyone explain it in short term?
Karthika said:
1 decade ago
Why 7(x-9) and 5(x-9)? Please help me.
Hossain said:
6 years ago
How 9 is added with B? Please explain.
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