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    Question

    Sumit and Rahul started a business by financing Rs 240

    and Rs 320 respectively. After a year, Sumit added Rs.(x + 20) while Rahul added Rs.’x’. At the end of 2 years, if the ratio of profits received by Sumit and Rahul is 29 : 36 then what will be the value for (x – 20).
    A 62 Correct Answer Incorrect Answer
    B 60 Correct Answer Incorrect Answer
    C 65 Correct Answer Incorrect Answer
    D 68 Correct Answer Incorrect Answer
    E none of these Correct Answer Incorrect Answer

    Solution

    Initial Investments: Sumit: Rs. 240 Rahul: Rs. 320 Second-Year Investments: Sumit adds x+20, so his total after 2 years is [240+(240+x+20)=500+x]. Rahul adds x, so his total after 2 years is [320+(320+x)=640+x]. Profit Ratio: Given ratio of profits:  Solve for x: Cross-multiply and solve:  36(500+x)=29(640+x). Simplifying, 7x=560, so x=80. Final Answer: x−20=80−20=60. The value of x−20 is 60.

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