A vessel contains $100$ litres of spirit. If $10$ litres are removed and replaced with water, and this process is repeated three times in total, the spirit left is:

Practice this question from Chapter Mock 10: Mixture and Alligation, with options and an explanation.

Question

A vessel contains $100$ litres of spirit. If $10$ litres are removed and replaced with water, and this process is repeated three times in total, the spirit left is:

Option A

70.0 litres

Option B — Correct answer

72.9 litres

Correct choice.

Option C

75.6 litres

Option D

81.0 litres

Explanation

Spirit left $=100\left(\frac{9}{10}\right)^3=72.9$ litres.

Chapter Mock 10: Mixture and Alligation

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