Question
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.Solution
ATQ,
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.
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