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 9 of 10.

Shiv Raj said:   9 years ago
Thanks for your explanation @Prabhas.

Deepthi said:   10 years ago
Can any one explain it again please?

Renu said:   1 decade ago
Hi Vaishali can you please explain.

Karen said:   8 years ago
Do we use the ratio? Please tell.

San said:   1 decade ago
Is there any easy way to do it ?

Vijay padala said:   9 years ago
Good explanation, thanks to all.

Keerthana said:   9 years ago
9 x 7 = 63 how you got 81@Silu.

Sus said:   1 decade ago
@Silu your explanation is good.

Teja said:   1 decade ago
Can You explain in other way ?

Amara said:   1 decade ago
How to calculate mixture left?


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