Question : In what ratio must water be mixed with milk worth Rs. 50 per litre so as to produce a mixture worth Rs. 35 per litre? (water is available free of cost)
Option 1: 3 : 7
Option 2: 7 : 5
Option 3: 3 : 5
Option 4: 2 : 7
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Correct Answer: 3 : 7
Solution : Given, Cost of water = Rs. 0 per litre Cost of milk = Rs. 50 per litre Cost of mixture = Rs. 35 per litre $\therefore\frac{\text{Quantity of Water}}{\text{Quantity of Milk}}$ $=\frac{\text{Cost Price of Milk – Cost Price of Mixture}}{\text{Cost Price of Mixture – Cost Price of Water}}$ $=\frac{50-35}{35-0}$ $=\frac{15}{35}$ $=\frac{3}{7}$ Hence, the correct answer is 3 : 7.
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