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In a mixture of milk and water, milk is 16 L more than water and the cost of the mixture is Rs.33(1/3). If the cost of pure milk is Rs.50 per L, then find the total quantity of the mixture.
a) 36 L
b) 48 L
c) 32 L
d) 50 L
e) 40 L
Sol:
Let the quantity of water = ‘x’ L
So, quantity of milk = (x + 16) L
Cost of pure milk = Rs.50 per L
From the question:
[(x + 16) * 50]/(2x + 16) = 100/3
(50x + 800) * 3 = 200x + 1600
150x + 2400 = 200x + 1600
x = 16
So, total quantity of the mixture = 16 + 16 + 16 =
48 L