A housewife has 1 litre of solution that contains milk and water in the ratio 3:1. She adds 250 ml of 3:2 solutions of milk and water to it and then uses 250 ml of the combined mixture to make curd. How much of pure milk is she left with? Options :A] 1,000 mlB] 912.5 mlC] 750 mlD] 720 ml
Question
A housewife has 1 litre of solution that contains milk and water in the ratio 3:1. She adds 250 ml of 3:2 solutions of milk and water to it and then uses 250 ml of the combined mixture to make curd. How much of pure milk is she left with? Options :A] 1,000 mlB] 912.5 mlC] 750 mlD] 720 ml
Solution
Let's solve this step by step:
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Initially, the housewife has 1 litre (or 1000 ml) of solution in which milk and water are in the ratio 3:1. This means she has 750 ml of milk and 250 ml of water.
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She then adds 250 ml of a solution in which milk and water are in the ratio 3:2. This means she adds 150 ml of milk and 100 ml of water.
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Now, the total amount of milk she has is 750 ml (from the initial solution) + 150 ml (from the added solution) = 900 ml.
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She then uses 250 ml of the combined mixture to make curd. The ratio of milk to water in the combined mixture is still the same (900 ml of milk and 350 ml of water in 1250 ml of solution). So, in the 250 ml used, the amount of milk is (900/1250)*250 = 180 ml.
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Therefore, the amount of pure milk she is left with is 900 ml - 180 ml = 720 ml.
So, the correct answer is D] 720 ml.
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