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).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:Â 
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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