In a partnership, A invests (1/6) of the capital for (1/6) of the time, B invests (1/3) of the capital for (1/3) of the time and C, the rest of the capital for the whole time. Out of a profit of Rs. 4600, B’s share is

  • Option 1)

    Rs. 800

  • Option 2)

    Rs. 1000

  • Option 3)

    Rs. 650         

  • Option 4)

    Rs. 960

  • Option 5)

       -

Answers (1)



Suppose \: A \: invests\: Rs. \: x/6 \: for\: y/6 \: months

Then\: B\, invests\: Rs. \: x/3\: for\: y/3 \: months

C\: invests\: \left [ x-\left \{ \left ( x/6 \right )+\left ( x/3 \right ) \right \} \right ] i.e.\: Rs\: . x/2 \: for\: y\: months

So, A:B:C = \left [ \left ( x/6 \right )\ast \left ( y/6 \right ) \right ] : \left [ \left ( x/3 \right )\ast \left ( y/3 \right ) \right ] : \left [ \left ( x/2 \right )\ast y \right ]

                            = 1/36 : 1/9 : 1/2

                            = 1 : 4 : 18

Hence \: B's \: share = Rs. \left ( 4600\ast 4/23 \right ) = Rs. 800

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