Question
Aarav and Bhumi entered into a partnership with Rs. 40,000 and Rs. 50,000 for 9 and 7 months, respectively. Bhumi used her entire profit to buy gold, which decreased by 20% in value over a year. Aarav bought a bike with his profit, which depreciated by 10% every year. If after 1 year, the difference between their money is Rs. 35,640, find Aarav’s profit.
Solution
Profit ratio of Aarav and Bhumi = 40,000 × 9: 50,000 × 7 = 36:35  Let Arav’s and Bhumi’s profit → 36x and 35x Value of Arav’s money after 1 year = 36x x 0.90 = 32.4x   Value of Bhumi’s money after 1 year = 35x × 0.80 = 28x Difference = 32.4x – 28x = Rs 35640 x = 8100 Arav’s profit = Rs. 2,91,600
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