SSC Sample Paper SSC CGL - Sample Paper-13

  • 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 :

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

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