Question
βAβ started a business with the investment of Rs.
18000. After βxβ months and after 6 months from starting βBβ and βCβ, respectively, joined the business with the investments of Rs. 36000 and Rs. 18000, respectively. If at the end of the year, the profit share of βBβ and βCβ is equal then find the value of βxβ.Solution
Profit share ratio of βAβ, βBβ and βCβ = (18000 Γ 12):[36000 Γ (12 β x)]:(18000 Γ 6) = 12:(12 β x):6 Given, the profit share ratio of βBβ and βCβis equal. So, 6:(12 β x) = 1:1 6 = (12 β x) x = 12 β 6 = 6 So, the value of x = 6
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