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?

Report

Report an issue

Name

Email

Message

Submit

Cancel

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

Nithin ? undefined

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

All DiscussionsClick here to write answer

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

Post your answers here:

Post

Post your comments here:

Message

Post

Cancel