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CAT 1994 | Question: 71

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1 1 vote

    Let the amount of water added / litre of spirit  =  x

   So now new volume of the mixture                 =  1 + x

   Given S.P. of the mixture                               =  Rs 75 per litre

   Hence total S.P.                                            =  75(1+x)

   Whereas  C.P.                                               =  60 [  As no cost for water mentioned ]

   Hence profit                                                   =  75 + 75x - 60   =   75x + 15

   Hence profit percentage                                 =   (Profit / C.P) * 100    =  [15(5x + 1) / 60] * 100

   Given profit percentage                                  =   37.5 %

   Hence we have ,

                                [15(5x + 1) / 60] *  100     =    37.50

                    ==>      (5x + 1) / 4                      =    0.375

                    ==>       5x + 1                           =    1.50

                    ==>       x                                   =    0.1

  Hence for each litre of spirit , 0.1 litre of water is added to get the desired mixture.

  Hence the ratio of spirit to water in the mixture           =     1 : 0.1     =    10 : 1

  Hence B) should be the correct answer.

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