The question consists of two statements numbered "I and II" given below it. You have to decide whether the data provided in the statements are suicient to answer the question. X and Y started a business with investments of Rs. (x + 90) and Rs. (3x + 270), respectively. What is the investment of X? Statement I: The ratio of the annual profit share of X to Y is 1 : 3. Statement II: The difference between the profits earned by X and Y at the end of 8 months is Rs. 580.

Statement I: The annual profit-sharing ratio of Mini and Monu is: = (x + 90) : (3x + 270) = (x + 90) : [3(x + 90)] = 1 : 3 Since we cannot determine the exact value of 'x', statement I alone is not enough to answer the question. Statement II: The profit-sharing ratio of Mini and Monu after 8 months is: = (x + 90) × 8 : (3x + 270) × 8 = (x + 90) : (3x + 270) = (x + 90) : [3(x + 90)] = 1 : 3 Assume their profit shares are Rs. 'k' and Rs. '3k' respectively. Then, 3k - k = 580 So, 'k' = 290 Because (x + 90) can be any multiple of 290, the exact value of 'x' still cannot be found. Hence, statement II alone is also not sufficient. Conclusion: Even using both statements together, we cannot determine the value of 'x'. The data is not sufficient to answer the question.