Question
βAβ started a business with the investment of Rs.
10000. After βxβ months and after 3 months from starting βBβ and βCβ, respectively, joined the business with the investments of Rs. 12000 and Rs. 16000, respectively. If at the end of the year, the profit share of βAβ and βBβ is equal then find the value of βxβ.Solution
Profit share ratio of βAβ, βBβ and βCβ = (10000 Γ 12):[12000 Γ (12 β x)]:(16000 Γ 9) = 10:(12 β x):12 Given, the profit share ratio of βAβ and βBβ is equal. So, 10:(12 β x) = 1:1 10 = (12 β x) x = 12 β 10 = 2 So, the value of x = 2
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