Question
'Ajeet' and 'Bhanu' started a business with investments of Rs. 'p' and Rs. 'p + 200', respectively. Eight months later, 'Ajeet' added another Rs.300 to his investment, and after another four months, 'Bhanu' put in an additional Rs. 600. At the conclusion of two years, the profit distribution between 'Ajeet' and 'Bhanu' was in the ratio of 14:17. What is the initial investment amount 'p'?
Solution
ATQ, Ratio of profit share of ‘Ajeet’ to that of ‘Bhanu’ = [(p × 8) + (p + 300) × 16]:[(p + 200) × 12 + (p + 200 + 600) × 12] = [8p + 16p + 4800]:[12p + 2400 + 12p + 9600] = [24p + 4800]:[24p + 12000] = (p + 200):(p + 500) ATQ, {(p + 200)/(p + 500)} = 14/17 Or, 17p + 3400 = 14p + 7000 Or, 3p = 3600 Or, p = 1200
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