A vessel contains milk and water in the ratio of 5:4 and 9 litres of mixture is removed from the vessel and replaced with 14 litres of water, then the ratio becomes 9:10. Find the final quantity of water in the vessel.
a) 40 litres
b) 45 litres
c) 50 litres
d) 36 litres
e) None of these
Sol:
Initial quantity of milk = 5x
Initial quantity of water = 4x
(5x – 9*5/9)/(4x – 9*4/9 + 14) = 9/10
(5x – 5)/(4x + 10) = 9/10
x = 10
Initial quantity of water = 4 * 10 = 40 litres
Final quantity of water = 4 * 10 – 4 + 14 = 50
litres
