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?
10
20
21
25
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

7x - 21
4
= 7
5x - 15  + 9
4
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.

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?

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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