Question
‘A’ started a business with the investment
of Rs. 12000. After ‘x’ months and after 3 months from starting ‘B’ and ‘C’, respectively, joined the business with the investments of Rs. 24000 and Rs. 12000, respectively. If at the end of the year, the profit share of ‘A’ and ‘B’ is equal then find the value of ‘x’.Solution
Profit share ratio of ‘A’, ‘B’ and ‘C’ = (12000 × 12):[24000 × (12 – x)]:(12000 × 9) = 12:2(12 – x):9 Given, the profit share ratio of ‘A’ and ‘B’is equal. So, 12:2(12 – x) = 1:1 6 = (12 – x) x = 12 – 6 = 6 So, the value of x = 6
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