A 140 liter mixture of milk and water contains 20% water. How much milk , in liter, must be added to the mixture so that the new mixture will contain a water and milk ratio of 1 : 7?

A 80 liter
B 84 liter
C 112 liter
D None of these

Correct Answer: 84 liter

Amount of water in mixture = 20% of 140 = 20/100 of 140 = 28 liter Amount of milk in mixture = 140 - 28 = 112 liter For, new mixture, the amount of water remains the same. Now, milk : water = 7 : 1   milk / water = 7 / 1 or,  milk = 7 x water = 7 x 28 = 196 liter So, more milk needed = 196 - 112 = 84 liter
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