A solution initially contains 92% acid. Water is added until the concentration decreases to 84%. If the final weight of the solution is 40 kg, what was the original weight of the solution?
- 36.52 kg
- 37 kg
- 38 kg
- None of these
Explanation
Let the original weight of the solution = x kg
Acid present in original solution = 92% of x = 0.92x kg
Water is added. Only water is added, so the amount of acid remains the same.
Final weight of solution = 40 kg
Final concentration of acid = 84%
Acid present in final solution = 84% of 40 = 0.84 x 40 = 33.6 kg
Since acid remains the same:
0.92x = 33.6
x = 33.6 / 0.92
x = 36.52 kg (approx)
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