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    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 sufficient to answer the question. Ajay’s spending is the same amount as Bheem’s savings. Determine Bheem’s total income. Statement I: Ajay and Bheem together earn Rs. 80,000. Statement II: Bheem’s expenditure is double Ajay’s savings, and the combined savings of Ajay and Bheem is Rs. 30,000.
    A The data in statement I alone are sufficient to answer the question, while the data in statement II alone are 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 are not sufficient to answer the question. Correct Answer Incorrect Answer
    C The data either in statement I alone or in statement II alone are sufficient to answer the question. Correct Answer Incorrect Answer
    D The data given in both statements I and II together are not sufficient to answer the question. Correct Answer Incorrect Answer
    E The data in both statements I and II together are necessary to answer the question. Correct Answer Incorrect Answer

    Solution

    ATQ, Let, the savings of Bheem and expenditure of Ajay be Rs. x From statement I: Total incomes of Ajay and Bheem = Rs. 80000 So, data in statement I alone is not sufficient to answer the question. From statement II: Let the savings of ‘Ajay’ be Rs. ‘y’ Therefore, expenditure of Bheem = Rs. 3y So, data in statement II alone is not sufficient to answer the question. Combining statement I and II x + y + x + 3y = 80000….. (1) x + y = 30000 …. (2) On solving equation (1) and (2), we get x = Rs. 20000 and y = Rs. 10000 Therefore, income of Bheem = 3y + x = Rs. 50000 Therefore, data in both statements I and II together are necessary to answer the question.

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