Subject

    Quantitative Aptitude

    Topic

    Partnership

    A,B and C enter into a partnership in the ratio 72:43:65\frac72:\frac43:\frac65 After 4 months, A increases his share by 50%. If the total profit at the end of one year be Rs. 21600, then B's share in the profit is :

    ক)
    Rs. 4000
    খ)
    Rs. 6000
    গ)
    Rs. 9000
    ঘ)
    Rs. 3000

    Explanation

    Given ratio of initial investments = 72:43:65\frac72:\frac43:\frac65 = 105 : 40 : 36. Let the initial investments be 105x, 40x and 36x. ∴A:B:C  =  (105x×4  +  150100×105x×8)  :  (40x×12)  :  (36x×12)\therefore A:B:C\;=\;\left(105x\times4\;+\;\frac{150}{100}\times105x\times8\right)\;:\;\left(40x\times12\right)\;:\;\left(36x\times12\right) = 1680x : 480x : 432x = 35 : 10 : 9. Hence, B's share = (21600×1054)\left(21600\times\frac{10}{54}\right) = Rs. 4000.

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