From a container, 6 liters milk was drawn out and was replaced by water. Again 6 liters of mixture was drawn out and was replaced by the water. Thus the quantity of milk and water in the container after these two operations is 8 : 10. The quantity of mixture is: एक कंटेनर से 6 लीटर दूध निकालकर उसे पानी से प्रतिस्थापित कर दिया गया । पुनः मिश्रण से 6 लीटर दूध निकालकर उसे पानी से प्रतिस्थापित कर दिया गया इस प्रकार इन दो क्रियाओं के पश्चात कंटेनर में दूध और पानी का अनुपात 8 : 10 है। मिश्रण की मात्रा है-

Let the total quantity be V liters. After removing 6 liters of milk and replacing with water, we have V-6 liters of milk and 6 liters of water. After the second operation, we remove 6 liters of the mixture (which contains milk and water in proportion to their current amounts) and replace with water. The final ratio of milk to water is 8:10. Using the dilution formula for successive replacements: final milk quantity = V(1 - 6/V)². The ratio milk:water = (1 - 6/V)² : (1 - (1 - 6/V)²) = 8:10. Solving gives V = 18 liters.