R' invested an amount of Rs. 'r' for a duration of 4 years, while 'S' invested Rs. 6000 for 18 months. The ratio of their respective profits is 16:9. Determine the sum of the investments made by 'R' and 'S' from the given options:
I. Rs. (2r + 2000)
II. Rs. (3r – 2000)
III. Rs. {(5r/2) + 500)
ATQ, 48x/(18 × 6000) = 16/9 Or, 27r = 18 × 6000 Or, r = Rs.4000 Therefore, sum of the investment made by both of them = (4000 + 6000) = Rs.10000 For I: (2r + 2000) = (2 × 4000 + 2000) = Rs.10000 Therefore, I can be the answer. For II: (3r – 2000) = (3 × 4000 – 2000) = Rs.10000 Therefore, II can be the answer For III: {(5r/2) + 500)} = {(20000/2) + 500} = Rs.10500 Therefore, III cannot be the answer.
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