In a mixture there is 15% of salt. When 30 liter of water is evaporated, salt becomes 20% of mixture. Find the initial quantity of mixture.

In a mixture there is 15% of salt. When 30 liter of water is evaporated, salt becomes 20% of mixture. Find the initial quantity of mixture. Correct Answer 120 liters

Let Mixture was X initiallyInitial Salt = 15% of X = 0.15XInitial Water = 85% of X = 0.85X30 liters of water evaporatedSo, Final water = (0.85X - 30)Now, salt rises to 20% of the mixture, it means as water dried up salt risesNow, Total Mixture = (0.85X -30 + 0.15X)Final salt = 20% of(0.85X - 30 + 0.15X)As, Initial Amount of salt = Final amount of salt, we have0.15X = 20% of(0.85X - 30 + 0.15X) 0.15X = 0.20X - 6 Or, 0.5X = 6 Thus, X = 120Initial amount of the mixture was 120 liters
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