Question
Titu and Sonu start a business together. Titu contributes 3/5 of the total investment, while Sonu invests the remaining amount. Titu keeps his investment in the business for 20 months, whereas Sonu's investment remains for 24 months. What percentage of the total profit does Titu receive based on their respective investments and durations?
Solution
Let the total amount invested by Sonu and Titu be Rs. 5x
So, amount invested by Titu = 5x X (3/5) = Rs. 3x
Amount invested by Sonu = Rs. 5x - 3x = Rs. 2x
Ratio of profit of Titu and Sonu respectively,
= (3x X 20) :(2x X 24) = 5:4
Required percentage = (5/9) X 100 = 55(5/9)%
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