Multiple choice

A solution of 100 litres of mud and water contains 70% water. If the concentration of water is increased to 75%, what is the final quantity of the solution after some more water is added?

  1. 120 litres

  2. 120 millilitres

  3. 20 litres

  4. 20 millilitres

  5. None of these
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A Correct answer
Explanation

Initial water = 70 litres, mud = 30 litres. After adding water, mud remains 30 litres, which is now 25% of the total. 0.25 * Total = 30, so Total = 120 litres.

AI explanation

In the initial 100 litres of solution, the quantity of mud is 30 litres and water is 70 litres. When pure water is added, the amount of mud remains constant at 30 litres, which must equal 25 percent of the final total volume. Solving 25 percent of the final volume equals 30 litres gives a final quantity of 120 litres.

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