Alligation or Mixture - Arithmetic Aptitude Questions and Answers

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Discussion :: 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?

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Answer : Option C

Explanation :

Suppose the can initially contains 7x and 5x of mixtures A and B respectively.

Quantity of A in mixture left = [ 7x - $\frac { 7 } {1 2 }$ x 9] litres =[7x - $\frac { 21 } {4 }$ ]litres

Quantity of B in mixture left =[ 5x - $\frac { 5} {1 2 }$ x 9 ]litres=[5x - $\frac { 15} {4}$ ]litres

$\frac { (7X-21/4 )} { (5X-15/4)+9 }$ = $\frac { 7 } { 9 }$

$\frac { 28X-21 } { 20X+21 }$ = $\frac { 7 } { 9 }$

252x - 189 = 140x + 147

112x = 336

x = 3.

So, the can contained 21 litres of A.

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