SSC Quantitative Aptitude Partnership Question Bank Partnership (II)

  • question_answer
    A, B, C enter into partnership and their capitals are in the proportion \[\frac{1}{3}:\frac{1}{4}:\frac{1}{5}.\] A withdraws half his capital at the end of 4 months. Out of a total annual profit of Rs. 8470, A's share is

    A) Rs. 2520

    B) Rs. 2800

    C) Rs. 3150

    D) Rs. 4120

    Correct Answer: B

    Solution :

    [b] Ratio of capitals in the beginning \[=\frac{1}{3}:\frac{1}{4}:\frac{1}{5}\text{ }=20:15:12\] Suppose A, B, C invest Rs. 20.x, Rs. 15x and Rs. 12x, respectively. \[A:B:C=(20x\times 4+10x\times 8)\]                   \[:(15x\times 12):(12x\times 12)\] \[=160x:180x:144x\] = 160 : 180 : 144 = 40 : 45 : 36 A's share \[=\left( 8470\times \frac{40}{121} \right)=\text{Rs}.\,\,2800\]


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