The question consists of three statements numbered "I,

Solution

Let the present age of 'B' be '10x' years. So, present age of 'A' = 10x × 1.5 = '15x' years And present age of 'C' = 10x × {(p + 100)/100} = x(p + 100)/10 years Statement I: Present age of C's wife = (10x + 6) years And, present age of 'A' = (10x + 6) × 1.25 = (12.5x + 7.5) years According to the statement: 12.5x + 7.5 = 15x Or, 2.5x = 7.5 So, x = 3 So, present age of 'A' = 3 × 15 = 45 years And, present age of 'B' = 3 × 10 = 30 years Also, present age of C's wife = 30 + 6 = 36 years According to the statement: Present age of 'C' = 36 + 0.1p And, Present age of 'C' = 30 × {(p + 100)/100} So, 30 × {(p + 100)/100} = 36 + 0.1p Or, 30 + 0.3p = 36 + 0.1p Or, 0.2p = 6 So, p = 30 So, data in statement I alone is sufficient to answer the question. Statement II: According to the statement: (15x + p) / {x(p + 100)/10 + p} = 25/23 Since, there are 2 variables and 1 equation, therefore we cannot find the value of 'p'. So, data in statement II alone is not sufficient to answer the question. Statement III: According to the statement: (15x - 0.5p) / {x(p + 100)/10 - 0.5p} = 5/4 Since, there are 2 variables and 1 equation, therefore we cannot find the value of 'p'. So, data in statement III alone is not sufficient to answer the question. Therefore, data in statement I alone is sufficient to answer the question.