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Amit, Bharat and Chirag started a business with their investments in the ratio 1: 2: 4. After 6 months, Amit invested half the amount more than before; Bharat invested twice the amount more as before while Chirag withdrew 1/4th of his investment. What will be the ratio of their profits at the end of the year?
5: 16: 14
16: 5: 14
14: 5: 12
14: 12: 5
None of these
Let their initial investments per month be x, 2x and 4x respectively Therefore, of their investments during the first 6 months = x: 2x: 4x Total investment for 6 months will be 6x, 12x, 24x respectively For the next 6 months, Total investment of Amit = (3x/2) x 6 = 9x Total investment of Bharat = 6x x 6 = 36x Total investment of Chirag = 3x x 6 = 18x Therefore, at the end of the year, Total investment of Amit = 15x Total investment of Bharat = 48x Total investment of Chirag = 42x Ratio of their profits will be the same as ratio of their total investments, Therefore, Ratio of their profits = 15: 48x: 42x = 5: 16: 14 So option (a) is the correct answer
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