Question
Deepak and Ramesh started a business together by investing a total of Rs. 27000 in the ratio of 5:4, respectively. After 5 months, Deepak increased his investment by Rs. 3000 and after 3 more months, Ramesh decreased his investment by Rs. 2000. Find the total annual profit earned, if the difference between their annual profits is Rs. 3900.
Solution
Let the total profit earned at the end of the year be Rs. 'p' Initial investment done by Deepak = 27000 X (5/9) = Rs. 15000 Initial investment done by Ramesh = 27000 - 15000 = Rs. 12000 Profits sharing ratio of Deepak and Ramesh = (15000 X 5 + 18000 X 7):(12000 X 8 + 10000 X 4) = (75 + 126):(96 + 40) = 201:136 According to question: (201p/337) - (136p/337) = 3900 Or, (65p/337) = 3900 Total profit earned (p) = (3900 X 337)/65 = Rs. 20220
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