Question

A vessel is filled with 9 litres of pure orange juice and of it 3 litres are withdrawn. The vessel is then filled with water. Next 3 litres of the mixture are withdrawn and again the vessel is filled with water. Find the ratio of orange juice left in the vessel with the original quantity.
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Answer 1

Answer:

Let the vessel contains 8 litres of liquid.

Let x litres of this liquid be replaced with water

when x litre of mixture is taken out it means 85x litre milk and 83x litre water taken out

Quantity of water in new mixture =(3−83x+x)litres

Quantity of milk in new mixture =(5−85x)litres

∴(3−83x+x)=(5−85x)

⇒5x+24=40−5x

⇒10x=16

∴x=58

So, part of the mixture replaced =(58×81)=51.

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