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The weight of the container alone is 25% of the container filled with a certain fluid .when some fluid is removed , the

weight of the container and remaining fluid is 50 % of the original total  weight . What fractional part of the liquid  has

been removed ?


Options:
A .  `1/3`
B .  `1/2`
C .  `2/3`
D .  `3/4`
Answer: Option C

Let the original total weight be `x` weight of container =   `25/100 x` =  `x/4`

Original weight of fluid = `(x - x/4)` = `(3x)/(4)`

New weight of (container + fluid) =  `50/100 x =  x/2`.  New weight of fluid = `(x/2 - x/4)` = `x/4`

`:.`  Required fraction =  `(((3x)/(4) - (x)/(4)))/((3x)/(4))` = `x/2 xx (4)/(3x) = 2/3`




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