Question
‘C’ and ‘D’ entered into a business by investing
Rs. ‘y’ and Rs. ‘y + 300’, respectively. After 10 months ‘C’ invested Rs. 400 more and after 6 more months ‘D’ increased his investment by Rs. 800. If at the end of two years, the ratio of profit share of ‘C’ and ‘D’ was 15:18, respectively, then find the value of ‘y’.Solution
ATQ Ratio of profit share of ‘C’ to that of ‘D’ = [(y × 10) + (y + 400) × 14]:[(y + 300) × 12 + (y + 300 + 800) × 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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