a) 25 litres
b) 15 litres
c) 18 litres
d) None of these
Answer: d
Explanation: Let bucket contains 5x and 3x of liquids A and B respectively.
When 16 litres of mixture are drawn off, quantity of A in mixture left:
$$\eqalign{
& {5x – {\frac{5}{8}} \times 16} = {5x – 10} \cr
& {\text{Similarly quantity of B in mixture left}}, \cr
& {3x – {\frac{3}{8}} \times 16} = {3x – 6} \cr
& {\text{Now the ratio becomes,}} \cr
& \frac{{ {5x – 10} }}{{ {3x – 6} }} = \frac{3}{5} \cr
& 25x – 50 = 9x – 18 \cr
& 16x = 32 \cr
& x = 2 \cr
& {\text{Quantity of liquid B initially}}, \cr
& = 3 \times 2 = 6\,{\text{litres}} \cr} $$
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