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Discussion :: Partnership

  1. A, B and C enter into a partnership in the ratio \(\frac {7 } { 2 } \) : \( \frac { 4 } { 3 }\) : \( \frac { 6 } { 5 }\) After 4 months, A increases his share 50%. If the total profit at the end of one year be Rs. 21,600, then B's share in the profit is:

  2. A.

    Rs. 2100

    B.

    Rs. 2400

    C.

    Rs. 3600

    D.

    Rs. 4000

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    Answer : Option D

    Explanation :

    Ratio of initial investments =[\(\frac {7 } { 2 } \)\(: \frac { 4 } { 3 }\):\( \frac { 6 } { 5 }\)]= 105 : 40 : 36

     

    Let the initial investments be 105x, 40x and 36x.

     

     A : B : C =[105x x 4 +\(\frac { 150 } { 100}\)x 105x x 8]: (40x x 12) : (36x x 12)

     

     = 1680x : 480x : 432x = 35 : 10 : 9.

     

    Hence, B's share = Rs.[21600x\( \frac { 1 0} { 54 } \)]= Rs. 4000.


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