Question

18 liters of water is added to 15 litres mixture of spirit and water solution that contains 60% spirit. What is the concentration of spirit in the new solution?

1. \(26\frac{3}{{11}}\)
2. \(29\frac{3}{{11}}\)
3. \(27\frac{3}{{11}}\)
4. \(25\frac{3}{{11}}\)
5. \(23\frac{3}{{11}}\)

Answer 1

Correct Answer - Option 3 : \(27\frac{3}{{11}}\)

Given:

Quantity of water added = 18 litres

Quantity of initial mixture = 15 litres

Percentage of spirit in the initial solution = 60%

Calculation:

Quantity of spirit in the initial solution of spirit and water = 15 × (60/100) = 9

Only water is added due to which quantity of spirit will be the same

Quantity of spirit in the final solution = 9 litre

Concentration of spirit in the final solution = {9/(18 + 15)} × 100 = 300/11 = \(27\frac{3}{{11}}\)%

∴ The concentration of spirit in the final solution is \(27\frac{3}{{11}}\)%