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SSC Sample Paper Mock Test-14 SSC CGL Tear-II Paper-1

  • question_answer
    A and B enter into a partnership. A contributes Rs. 5000 while B contributes Rs. 4000. After 1 month B withdraws \[\frac{1}{4}\]part of his contribution and after 3 months from the starting A puts Rs. 2000 more. When B withdraws his money at the same time C also joins them with Rs. 7000. If at the end of 1 yr there is a profit of Rs. 1218, what will be share of C in the profit?

    A) Rs. 381.44

    B)  Rs. 406.30

    C)  Rs. 397.95

    D)  Rs. 488.47

    Correct Answer: D

    Solution :

    Since the contributions of three partners are different and their times also differ. Therefore, their contributions should be converted for equal durations. For this, contribution is multiplied by time.
    \[\therefore \]Contribution of A = Rs. 5000 for 12 months + Rs. 2000 for 9 months
    \[\therefore \]Contribution of A for 1 month \[=50000\times 12+2000\times 9\]
    \[=60000+18000\]
    = Rs. 78000
    Contribution of B = Rs. 4000 for 1 month \[+\frac{3}{4}\]of Rs. 4000 for 11 months
    \[\therefore \]Contribution of B for 1 month
    \[=4000\times 1+3000\times 11\]
    \[=4000+33000=\text{Rs}\text{. }37000\]
    Contribution of C = Rs. 7000 for 11 months
    \[\therefore \]Contribution of C for 1 months \[=7000\times 11\] Rs. 77000
    \[\therefore \] Ratio in their contributions
    = 78000 : 37000 : 77000 = 78 : 37 : 77
    \[\therefore \]Sum of their ratios \[=78+37+77=192\]
    \[\therefore \]Share of C m the profit \[=\frac{77\times 1218}{192}\]
    = Rs. 488.47


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