Question
βCβ and βDβ entered into a business by investing
Rs. βyβ and Rs. βy + 300β, respectively. After 10 months βCβ invested Rs. 400 more and after 6 more months βDβ increased his investment by Rs. 800. If at the end of two years, the ratio of profit share of βCβ and βDβ was 15:18, respectively, then find the value of βyβ.Solution
ATQ Ratio of profit share of βCβ to that of βDβ = [(y Γ 10) + (y + 400) Γ 14]:[(y + 300) Γ 12 + (y + 300 + 800) Γ 10] = [10y + 14y + 5600]:[12y + 3600 + 10y + 11000] = [24y + 5600]:[22y + 14600] = (y + 233.33):(y + 663.64) ATQ, {(y + 233.33)/(y + 663.64)} = 15/18 Or, 18y + 4200 = 15y + 9960 Or, 3y = 5760 Or, y = 1920
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