Question
Abhijeet and Vivek jointly initiated a business.
Abhijeet contributed 60% of the total investment made by both of them. Abhijeet invested his amount for 12 months, and the profit earned by him is 4/15th of the total profit. Determine the duration for which Vivek invested his amount.Solution
ATQ, Let the total profit received by ‘Abhijeet’ and ‘Vivek’ be Rs. 15a Therefore, profit received by ‘Abhijeet’ = 15a × (4/15) = Rs. 4a Profit received by ‘Vivek’ = 15a – 4a = Rs. 11a Let the total sum invested be ‘b’ Therefore, sum invested by ‘Abhijeet’ = 0.6b And, sum invested by ‘Vivek ’ = 0.4b Let ‘Vivek’ invested his sum for ‘m’ months Therefore, (0.6b × 12):(0.4b × m) = 4a:11a Or, m = (0.6 × 12 × 11)/(0.4 × 4) = 49.5 months
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