A container has 30 litres of water. If 3 litres of water is replaced by 3 litres of spirit and this operation is repeated twice, what will be the quantity of water in the new mixture?

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INSURANCE EXAMS (LIC) 2013 click here to view all questions

A container has 30 litres of water. If 3 litres of water is replaced by 3 litres of spirit and this operation is repeated twice, what will be the quantity of water in the new mixture?

A24 litres

B23 litres

C24.3 litres

D23.3 litres

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Correct answer is: 24.3 litres Explanation: Suppose a container contains x units of liquid from which y Units are taken out and replaced by water. After n operations. the quantity of pure liquid $= x \left(1-\frac{y}{x}\right)^{n} units$ Therefore, Remaining water $=30 \left(1-\frac{3}{30}\right)^{2}$ $= \frac{30 \times 9 \times 9}{100}$ = 24.3 litres Nithin ? answered undefined All Comments

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