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SSC Quantitative Aptitude Partnership Question Bank Partnership (II)

  • question_answer
    A and B start an enterprise together, with A as active partner. A invests Rs. 4000 and Rs. 2000 more after 8 months. B invests Rs. 5000 and withdraws Rs. 2000 after 9 months. Being the active partner, A takes Rs. 100 per month as allowance, from the profit. What is the share of B if the profit for the year is Rs. 6700? [SSC CGL Tier II, 2017]2222222

    A) Rs. 3350

    B) Rs. 3250

    C) Rs. 2700

    D) Rs. 2800

    Correct Answer: C

    Solution :

    [c] Ratio of profits of A and B \[=\text{ }\!\!\{\!\!\text{ }4000\times 8+(4000+2000)\times 4\}\]    \[:\{5000\times 9+(5000-2000)\times 3\}\] \[=\{32000+24000\}:\{45000+9000\}\] \[=56000:54000=56:54=28:27\] Now, yearly allowance of \[A=100\times 12=\text{Rs}.\,\,1200\] \[\therefore \]      Net yearly profit \[=6700-1200=\text{Rs}.\,\,5500\]             \[\therefore \] Share of B in profit \[=\frac{27}{(28-27)}\times 5500=\frac{27\times 5500}{55}=27\times 100=\text{Rs}.\,\,2700\]


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