520 ml of a mixture contains milk and water in the ratio of 10 respectively. If 80 ml of water and 90 ml of milk are added into it, then the ratio of milk to water in the resulting mixture will be 4:1. Find the value of ‘z’.
ATQ Quantity of milk in 520 ml of mixture = 520 × 10/(10 + z) Quantity of water in 520 ml of mixture = 520 × z/(z + 10) According to the question: {5200/(10 + z) + 90}/{520z/(z + 10) + 80} = 4/1 Or, 5200/(10 + z) + 90 = 2080z/(z + 10) + 320 Or, (5200 – 2080z)/(z + 10) = 230 Or, 5200 – 2080z = 230z + 2300 Or, 2310z = 2900 Or, z = 2
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