A) 40
B) 50
C) 60
D) 70
E) None of these
Correct Answer: A
Solution :
Explanation Let the quantity of water be 5x litre and quantity of milk be 3x litre in the container. Removed quantity contains, \[\frac{16}{8} \times 5 = 10\] litre water and \[\left( 16-10 \right)\] litre = 6 litre of milk. Now, \[\frac{5x-10}{(3x-6)+16}=\frac{3}{5}\] \[\Rightarrow \,\,5\left( 5x-10 \right)= 3\left( 3x+10 \right)\,\,\Rightarrow \,\,25x-50=9x+30\]\[\Rightarrow \,\,\,25x-9x=30+50\,\,\Rightarrow \,\,16x=80\,\,\Rightarrow \,\,x=5\] Thus, the volume of container is \[8 \times 5 = 40 litre.\]You need to login to perform this action.
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