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
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Correct Answer: 5 litres
Solution : Given: 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. Let the water added be $x$ litre. 5% of 470 litres = 23.5 litres According to the question, $\frac{23.5+x}{470+x}\times 100=6$ ⇒ $2350+100x=2820+6x$ ⇒ $94x=470$ ⇒ $x=5$ litres Hence, the correct answer is 5 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 : 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
Question : A mixture of 500 litres of alcohol and water contains 20 percent water. How much more water should be added to this so that the water will become 50 percent in the new mixture?
Option 1: 300 litres
Option 2: 400 litres
Option 3: 350 litres
Option 4: 450 litres
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