A solution of salt and water container 15% salt. After evaporating 8 kg of water from it , the remaining solution has 20% salt. find the weight of the original solution.
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Let the amount of water in the original solution =x kg.
Then the amount of salt present in 15% of this solution = 10015xkg=203x kg.
After 30 kg water evaporates, the amount of water =(x=30) kg.
So, the new concentration = x−30203x×100.
Then, by the given condition,
x−30203x×100=20
⇒4x−120=3x
⇒x=120 kg
So, the quantity of the original solution =120 kg.
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