Question
Anna and Ben initially invested Rs. 12,500 and Rs.
15,000 in a business venture. Six months into the business, Anna added another Rs. 2,500 to her investment, and they were joined by Sia, who invested an amount denoted as 'Z'. At the year's end, it was calculated that Anna's share of the total profit was one-third. Determine the value of 'Z'.Solution
Ratio of profit shares of Anna, Ben and Sia respectively: = [(12,500 X 6) + (12,500 + 2,500) X 6]:[15,000 X 12]:[Z X 6] = (12,500 + 15,000) :(15,000 X 2) :(Z) = 27,500:30,000:Z So, 27,500 Ă· (27,500 + 30,000 + Z) = (1/3) Or, 82,500 = 57,500 + Z So, 'Z' = 25,000
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