Question
Aman and Karan started a business together by investing a total of Rs. 22000 in the ratio of 6:5, respectively. After 4 months, Aman decreased his investment by Rs. 2000 and after 3 more months, Karan increased his investment by Rs. 3000. Find the total annual profit earned, if the difference between their annual profits is Rs. 1400.
Solution
Let the total profit earned at the end of the year be Rs. 'p' Initial investment done by Aman = 22000 X (6/11) = Rs. 12000 Initial investment done by Karan = 22000 - 12000 = Rs. 10000 Profits sharing ratio of Aman and Karan = (12000 X 4 + 10000 X 8):(10000 X 7 + 13000 X 5) = (48 + 80):(70 + 65) = 128:135 According to question: (135p/263) - (128p/263) = 1400 Or, (7p/263) = 1400 Total profit earned (p) = (1400 X 263)/7 = Rs. 52600
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