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7th Class Mathematics Comparing Quantities Question Bank Self Test-7

  • question_answer
    In a container, water and milk are mixed in the ratio 5: 3. If 16 litres of mixture are removed and same quantity of milk be added then the ratio becomes 3: 5. What is the volume of the container?

    A)  40          

    B)  50           

    C)  60         

    D)  70

    E)             None of these

    Correct Answer: A

    Solution :

    Let the quantity of water be \[5x\] litres and quantity of milk be \[3x\] liters in the container. Removed quantity contains, \[\frac{16}{8}\times 5=10\] liters water and \[\left( 16-10 \right)\] liters \[=6\] liters 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 x 5 = 40 liters.  


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