Aptitude - Alligation or Mixture - Discussion

Discussion Forum : Alligation or Mixture - General Questions (Q.No. 3)

Alligation or Mixture

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

	7x -	21
		4

	5x -	15	+ 9
		4

	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 7 of 10.

Prakash said: 9 years ago

Hi, guys can anyone explain me from where 7x - 7/12 x 9 this fraction come?

Anand said: 2 years ago

Ist part = 7 : 5=(7+5) = 12.
2nd part = 12-9 = 3.
3rd part = 7 * 3 = 21.

(89)

Yamini@usha said: 6 years ago

It's very difficult to understand. Anyone please help me to get it.

(5)

Sonu said: 9 years ago

@ Prabhas,

Your explanation is very nice and it also very useful.

Teju said: 9 years ago

7x+5x-9 = 9x(mixture removed equals B added)
X = 3
7x = 21= A.

Prashant Pal said: 8 years ago

@ALL.

7:5
7:9

9-5= 4
7+5= 12
So,
4/12 * 9= 3
So 7*3= 21.

Rahul said: 9 years ago

Can we solve this problem with the formula of adulteration?

Naveen said: 1 decade ago

How should I know in this case I should take one variable.

Priya said: 10 years ago

I don't understand can you people explain me much better?

Priya said: 10 years ago

I don't understand can you people explain me much better?

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