Question

    The earnings of 'Akash' and 'Bittu' are in the ratio

    3:7, respectively. Determine the savings of 'Bittu', considering that his expenses equal 'Akash's income. Statement I: There is a Rs.35,000 difference between the savings of 'Akash' and 'Bittu'. Statement II: The combined expenditure of 'Akash' and 'Bittu' amounts to Rs.55,000. 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 sufficient to answer the question. 
    A The data in statement I alone are sufficient to answer the question, while the data in statement II alone is not sufficient to answer the question. Correct Answer Incorrect Answer
    B The data in statement II alone are sufficient to answer the question, while the data in statement I alone is not sufficient to answer the question. Correct Answer Incorrect Answer
    C The data either in statement I alone or in statement II alone is sufficient to answer the question. Correct Answer Incorrect Answer
    D The data given in both statements I and II together is not sufficient to answer the question. Correct Answer Incorrect Answer
    E The data in both statements I and II together is necessary to answer the question. Correct Answer Incorrect Answer

    Solution

    ATQ, Let the incomes of 'Aaksh' and 'Bittu' be Rs.'3a' and Rs.'7a', respectively. So, expenditure of 'Bittu' = Rs.'3a' And saving of 'B' = 7a - 3a = Rs.'4a' Statement I: According to the statement; Saving of 'Akash' = Rs.'4a - 35000'  (Since, savings of 'Bittu' is Rs.4a and income of 'Akash' is Rs.3a therefore his savings must be less than that of 'Bittu') So, expenditure of 'Akash' = 3a - (4a - 35000) = Rs.(35000 - a) So, data in statement I alone is not sufficient to answer the question. Statement II: Expenditure of 'Akash' = Rs.(55000 - 3a) So, data in statement II alone is not sufficient to answer the question. On combining both statements, we have; 35000 - a = 55000 - 3a Or, 2a = 20000 So, a = 10000 So, savings of 'Bittu' = 4a = 10000 × 4 = Rs.40,000 So, the data in both statements I and II together is necessary to answer the question

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