Question
"Arun and Bharat started a
business together with a combined investment of Rs. 3000. After the first year, Arun withdrew Rs. 400 while Bharat increased his investment by Rs. 400. If the ratio of Arun's share of the profit to Bharat's share at the end of 2 years is 2:3, determine the amount initially invested by Arun."Solution
ATQ, Let initial investment made by βArunβ is Rs. βxβ So, initial investment made by βBharatβ = Rs. β3000 β xβ So, {x + x β 400}/{3000 β x + 3000 β x + 400} = 2/3 Or, (2x β 400)/(6400 β 2x) = 2/3 Or, 3x β 600 = 6400 β 2x Or, 5x = 7000 Or, x = 1400
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