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A Vessel Is Filled To Its Capacity With Pure Milk. Ten Litres Are Withdrawn From It And Replaced By Water. This Procedure Is Repeated Again. The Vessel Now Has 32 Litres Of Milk. Find The Capacity Of The Vessel (in Litres)? |
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Answer» Lets assume the capacity of the vessel = x litres. x (1- 10/x)^2 = 32 x^2 +100-20x = 32x x^2 +100 - 52x= 0 x^2 - 50X - 2x + 100 = 0 => (x-2) (x-50) = 0 => x=2 & x=50 As 10 litres is withdrawn so vessel capacity will be 50 litres. Lets assume the capacity of the vessel = x litres. x (1- 10/x)^2 = 32 x^2 +100-20x = 32x x^2 +100 - 52x= 0 x^2 - 50x - 2x + 100 = 0 => (x-2) (x-50) = 0 => x=2 & x=50 As 10 litres is withdrawn so vessel capacity will be 50 litres. |
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