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Rajesh has a container which has a mixture of wine and water in it. Wine and water are in the ratio 4:1. Rajesh spills some of the mixture by accident. He then replaces the spilled amount with water of same quantity. But now the wine to water ratio became 3:2. How much water did Rajesh add

🗓 Mar 20, 2025

Answer is "1/4"

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UZB ~ ??????? 🌐 India
Acc to the question, Rajesh has a container which has a mixture of wine and water in it in the ratio 4:1.



Amount of wine = 4/5.



Amount of water = 1/5



Let the amount spilled out be y.



Then present amount of the wine will be (4/5 - 4y/5).



Then present amount of the water will be (1/5 - y/5 + y).



wine : water = (4/5 - 4y/5) : (1/5 - y/5 + y) = 3 : 2



or, (4 - 4y) : (1 + 4y) = 3 : 2



or, 8 - 8y = 3 + 12y.



or, 20y = 5



or, y = 1/5 [Ans]



Therefore, Rajesh has added 20% of water.
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