A vessel is full of refined oil. ¼ of the refined oil is taken out and the vessel is filled with mustard oil. If the process is repeated 4 times and 10 litres of refined oil is finally left in the vessel, what is the capacity of the vessel?

 

 

  • Option 1)

     

    33 \: liters

     

  • Option 2)

     

    40 \: liters

     

  • Option 3)

     

    \frac{2560}{81}\: liters

     

  • Option 4)

     

    30\:liters

     

  • Option 5)

     

    \frac{2460}{81}\: liters

     

Answers (1)

Y = X/4 , final = 10 L

N=4

X\left ( \frac{1-X}{4X} \right )^{4}= 10L

X\left ( \frac{3}{4} \right )^{4}= 10

X=\frac{256}{81}\times10= \frac{2560}{81} L

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