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Ramu had two jars, one of which had 1 litre of 40% milk and the other, 1 litre of 18% milk. If he mixed 300 ml of the former and 700 ml of the latter to form a new solution, what is the ratio of water and milk in the solution?32 : 93377 : 123417 : 83747 : 253

Question

Ramu had two jars, one of which had 1 litre of 40% milk and the other, 1 litre of 18% milk. If he mixed 300 ml of the former and 700 ml of the latter to form a new solution, what is the ratio of water and milk in the solution?32 : 93377 : 123417 : 83747 : 253

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Solution

The problem involves finding the ratio of water and milk in a new solution formed by mixing two different milk solutions. Here are the steps to solve it:

  1. First, calculate the amount of milk in each solution. For the first solution, 40% of 1 litre is milk, which is 0.4 litres or 400 ml. For the second solution, 18% of 1 litre is milk, which is 0.18 litres or 180 ml.

  2. Then, calculate the amount of milk in the portions of the solutions that are mixed. For the first solution, 300 ml is used, so the amount of milk is 0.4 * 300/1000 = 120 ml. For the second solution, 700 ml is used, so the amount of milk is 0.18 * 700/1000 = 126 ml.

  3. Add these amounts to find the total amount of milk in the new solution, which is 120 ml + 126 ml = 246 ml.

  4. The total volume of the new solution is 300 ml + 700 ml = 1000 ml or 1 litre. So, the amount of water in it is 1000 ml - 246 ml = 754 ml.

  5. Therefore, the ratio of water to milk in the new solution is 754 : 246, which simplifies to approximately 307 : 100 when rounded to the nearest whole number.

None of the options provided match this ratio.

This problem has been solved

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