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Anita has a vessel that is full of refined oil. She wants to measure the capacity of the vessel. For this, she takes out 25% of the refined oil from the vessel and then fills the vessel with mustard oil.

 

Anita has a vessel that is full of refined oil. She wants to measure the capacity of the vessel. For this, she takes out 25% of the refined oil from the vessel and then fills the vessel with mustard oil. She repeats the process 4 times and knows that the vessel then contains exactly 10 litres of refined oil. What is the capacity of the vessel?

 

  • Option 1)

     

    33 litres

     

  • Option 2)

     

    40 litres

     

  • Option 3)

     

    2560/81 litres

     

  • Option 4)

     

    None of these

     

  • Option 5)

     

    2460/81 litres

     

Answers (1)
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The capacity of the vessel is:

Y= X/4, n=4

X(1-\frac{y}{x})^{n} = 10 ; x(1- 1/4)^{4} =10

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

X = 256/81 x 10 = 2560/81 L

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