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 the second time. As a result, sugar content becomes 10% of total volume. What is the approx quantity of mixture released every time?

How do you solve this? The answer is 2 Litres. I'm not able to solve this using alligations

Question

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 the second time. As a result, sugar content becomes 10% of total volume. What is the approx quantity of mixture released every time?

How do you solve this? The answer is 2 Litres. I'm not able to solve this using alligations

bindu k · Accepted Answer

Hi Ann,

The amount of sugar in the cylinder = 1.5 liters

Amount of sugar left after replacing x liters of solution twice $$1.5(1- (\frac{a}{10})^2)$$

sugar left in the solution = 10% = 1 liter

==> $$1.5(1- (\frac{a}{10})^2)$$ = 1

On solving the above equation, we get a = 2.

Hope this helps,

Thanks.

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