One litre of spirit which contains 10\% of water is added to 3 litres of spirit containing 7\% of water, and t

Question

One litre of spirit which contains 10\% of water is added to 3 litres of spirit containing 7\% of water, and to this mixture half a litre of water is added. Find the percentage of water in the final mixture.

Accepted Answer

Let's calculate the total volume of water in each component:
1. In the first

1 litre

of spirit:

Water = 1 \times \frac{10}{100} = 0.1 litre

2. In the next

3 litres

of spirit:

Water = 3 \times \frac{7}{100} = 0.21 litre

3. Pure water added:

Water = 0.5 litre

Total volume of water = 0.1 + 0.21 + 0.5 = 0.81 litre

Total volume of the final mixture = 1 + 3 + 0.5 = 4.5 litres

The percentage of water in the final mixture is:

Percentage of water = \frac{0.81}{4.5} \times 100 = \frac{81}{450} \times 100 = \frac{9}{50} \times 100 = 18%

One litre of spirit which contains $10%$ of water is added to $3 litres$ of spirit containing $7%$ of water, and to this mixture half a litre of water is added. Find the percentage of water in the final mixture.

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One litre of spirit which contains 10% of water is added to 3litres of spirit containing 7% of water, and to this mixture half a litre of water is added. Find the percentage of water in the final mixture.