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SSC Sample Paper Mock Test-3 SSC CGL Tear-II Paper-1

  • question_answer
    A person P started a business with a capital of Rs.2525 and another person Q joined P after some months with a capital of Rs. 1200. Out of the total annual profit of Rs. 1644, P's share was Rs. 1212. When did Q join as partners?

    A)  After 2 months 

    B)  After 3 months

    C)  After 4 months 

    D)  After 5 months

    Correct Answer: B

    Solution :

    Let Q join for x months. \[\therefore \]Ratio of capital \[=2525\times 12:1200\times x\] \[=2525:100x=101:4x\] \[\therefore \]      P?s profit \[=\frac{101}{101+4x}\times 1644\] \[\Rightarrow \]   \[1212=\frac{101\times 1644}{101+4x}\] \[\Rightarrow \]   \[\frac{1}{137}=\frac{1}{101+4x}\] \[\Rightarrow \]   \[4x=36\] \[\therefore \]      \[x=9\] Hence, Q joined for 9 months i.e., he joined after 3 months.


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