Question : In a 255-litre mixture of milk and water, the ratio of milk and water is 4 : 1. Find the quantity of water required to make the ratio of milk and water 4 : 3.
Option 1: 94 litres
Option 2: 51 litres
Option 3: 102 litres
Option 4: 55 litres
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Correct Answer: 102 litres
Solution : Given: In a 255-litre mixture of milk & water, the ratio of milk and water is $4:1$. Quantity of milk in mixture = $255\times\frac{4}{5}=204$ litres Quantity of water in mixture = $255\times\frac{1}{5}=51$ litres The ratio of milk and water in the new mixture = 4 : 3 Let the required amount of water be $x$ litres. According to the question, $\frac{204}{51+x}=\frac{4}{3}$ ⇒ $204+4x=612$ ⇒ $4x=408$ $\therefore x=102$ litres Hence, the correct answer is 102 litres.
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Question : A mixture contains milk and water in a ratio of 9 : 5. When 6 litres of water is added to this mixture, the ratio of milk and water becomes 9 : 7. Find the quantity of milk in the mixture.
Option 1: 30 litres
Option 2: 18 litres
Option 3: 27 litres
Option 4: 15 litres
Question : A bottle holds 8 litres of a mixture of milk and water in a ratio of 3 : 1. 3 litres of water is added to the given mixture. Find the new ratio of milk and water in the mixture.
Option 1: 3 : 2
Option 2: 1 : 3
Option 3: 2 : 3
Option 4: 6 : 5
Question : In A mixture of 180 litres, the ratio of milk and water is 5 : 1. If this ratio is to be 3 : 2, then find the quantity of water to be further added.
Option 1: 66 litres
Option 2: 70 litres
Option 3: 88 litres
Option 4: 72 litres
Question : 470 litres of a mixture of milk and water contains 5% of water. A mischievous boy added some water in the mixture and now there is 6% water in the new mixture. Find the quantity of water added by the boy in the mixture.
Option 1: 6 litres
Option 2: 8 litres
Option 3: 5 litres
Option 4: 10 litres
Question : A certain quantity of water is mixed with milk price at Rs. 48 per litre. The price of the mixture is Rs. 30 per litre. The ratio of water and milk in the new mixture:(water is available free of cost)
Option 2: 3 : 5
Option 4: 2 : 5
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