Latest SSC Aptitude Question SOLUTION: A vessel is filled with liquid 3 parts of which are water & 5 parts syrup. How much of the mixture must be drawn off & replaced with water so that the mixture may be half water & h

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(#M40017877) SSC Numerical Ability question Keep an EYE

A vessel is filled with liquid 3 parts of which are water & 5 parts syrup. How much of the mixture must be drawn off & replaced with water so that the mixture may be half water & half syrup ?

Asked In SSC Gaurav Kumar (11 years ago)

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S. Singh  (11 years ago)

1/5 th part of total volume of vessel/liquid

If total vol is 8x out of which 3x is water and 5x is syrup, and
if y units of liquid is to be replaced by water,then
y+3x- 3y/8 = 5x-5y/8

y= 1.6x
y/8x= 1/5=0.2
y= 0.2* total volume of vessel

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Divesh Singla  (8 years ago)

Suppose the vessel initially contains 8 litres of liquid.

Let x litres of this liquid be replaced with water.

Quantity of water in new mixture = 3 - 3x/8 + x litres


Quantity of syrup in new mixture = 5 - 5x/8 litres


3 - 3x/8 + x =5 - 5x/8


5x + 24 = 40 - 5x

10x = 16

x = 8/5

So, part of the mixture replaced = 8/5x 1/8 = 1/5.

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