A vessel contains 120 litres of milk. 24 litres of milk is taken out from it and replaced by water. Then again from mixture, 24 litres is taken out and replaced by water. The ratio of milk and water in the resultant mixture is- একটি পাত্রে 120 লিটার দুধ আছে। এখান থেকে 24 লিটার দুধ জল দ্বারা প্রতিস্থাপন করা হল। পুনরায় 24 লিটার দুধ জল দ্বারা প্রতিস্থাপন করা হলো। এখন পাত্রটিতে দুধ এবং জলের অনুপাত কত হবে?

Using the formula for repeated replacement, the final quantity of milk is Initial Quantity times (1 minus Replacement Quantity divided by Initial Quantity) raised to the power of the number of operations. Here, the calculation is 120 times (1 minus 24 divided by 120) squared, which equals 120 times (1/5) squared, resulting in 120 times 4/25 or 19.2 litres of milk. The remaining 100.8 litres is water, making the ratio of milk to water 19.2 to 100.8, which simplifies to 16 to 9.

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