Multiple Choice Questions on How much water must be added to 60 litres of milk at 1 5 litres for Rs 20 So as to have a mixtu........... for SBI (Clerical) Exam Preparation

Mixture and Alligation

Quantitative Aptitude (SBI-CL)

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    How much water must be added to 60 litres of milk at 1.5 litres  for Rs. 20 So as to have a mixture worth Rs.10 2/3 a litre?

    15 ltrs

    Correct Answer

    14 ltrs

    Incorrect Answer

    12 ltrs

    Incorrect Answer

    10 ltrs

    Incorrect Answer
    Explanation:

    C.P. of 1.5=3/2 litre of milk = Rs. 20

    C.P. of 1 litre of milk = Rs. 20×2/3 = Rs. 40/3

    C.P. of 1 litre of water =0

    From question,

    Mean price Rs.10 2/3 = Rs. 32/3

    By the rule of alligation, we have:

    C.P of 1 litre        C.P of 1 litre

       of water               of milk

         (0)                  (Rs.40/3)

                 \                /
                Mean Price

                  (Rs.32/3)

                 /               \

      (40/3−32/3)          (32/3−0)

          =8/3                   =32/3

    Ratio of water and milk = 8/3:32/3

    =8:32 = 1:4

    Thus, Quantity of water to be added to 60 litres of milk: (Note it is extra water that is to be added and final solution is not of 60 litre but more than that).

    (1/4×60)litres =15 litres

    Hence, option 1 is the correct answer.


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