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    Question

    The ratio of the income and savings of John is 5:2,

    respectively. If his expenditure increases by an amount which is equal to half of his initial savings and his income increases by Rs. 1,000, then his savings will remain the same. Find his initial income.
    A Rs.6000 Correct Answer Incorrect Answer
    B Rs.5000 Correct Answer Incorrect Answer
    C Rs.5500 Correct Answer Incorrect Answer
    D Rs.3000 Correct Answer Incorrect Answer
    E None of these Correct Answer Incorrect Answer

    Solution

    ATQ, Let the income and saving of John be Rs. '5x' and Rs. '2x', respectively. So, his expenditure = 5x - 2x = Rs. '3x' His new expenditure = 3x + 0.5 × 2x = Rs. '4x' Since savings remain the same, therefore His new income = 4x + 2x = Rs. '6x' ATQ: 6x - 5x = 1000 Or, x = 1000 So, his initial income = 5x = 5 × 1000 = Rs.5000

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