A 10 litre cylinder contains a mixture of water and sugar, the volume of sugar being 15% of total volume. A few litres of the mixture is released and an equal amount of water is added. Then the same amount of the mixture as before is released and replaced with water for a second time. As a result, the sugar content becomes 10% of total volume. What is the approximate quantity of mixture released each time?
Explanation:
The amount of sugar in the cylinder = 1.5 litres
Now, 1.51-a102 is the amount of sugar
left after a litres has been replaced twice.
Now after replacement, sugar left is 10% of the total solution i.e.10% of 10 litres = 1 litre
∴ 1 = 1.51-a102
∴ 0.66 = 1-a102
0.66 ≈ 0.8
∴ 0.8 = 1 - a10
∴ a10 = 0.2
∴ a = 2
Hence, option (d).
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