Question

    The ratio of the income and savings of Michael is 6:2,

    respectively. If his expenditure increases by an amount which is equal to 25% of his initial savings and his income increases by Rs. 1,500, then his savings will remain the same. Find his initial income.
    A Rs.16000 Correct Answer Incorrect Answer
    B Rs.17200 Correct Answer Incorrect Answer
    C Rs.18000 Correct Answer Incorrect Answer
    D Rs.13000 Correct Answer Incorrect Answer
    E None of these Correct Answer Incorrect Answer

    Solution

    ATQ, Let the income and saving of Michael be Rs. '6x' and Rs. '2x', respectively. So, his expenditure = 6x - 2x = Rs. '4x' His new expenditure = 4x + 0.25 × 2x = Rs. '4.5x' Since savings remain the same, therefore His new income = 4.5x + 2x = Rs. '6.5x' ATQ: 6.5x - 6x = 1500 Or, 0.5x = 1500 Or, x = 1500 ÷ 0.5 Or, x = 3000 So, his initial income = 6x = 6 × 3000 = Rs.18000

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