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    Question

    The incomes of 'P' and 'Q' are in the ratio 7:12

    respectively. Income of 'P' is increased by 30% and that of 'Q' is decreased by Rs. 2,000 such that the decreased income of 'Q' equals 90% of the income of 'R'. Also, income of 'R' is Rs. 5,000 more than the previous income of 'P'. Find the increased income of 'P'.
    A Rs.15,000 Correct Answer Incorrect Answer
    B Rs.18,000 Correct Answer Incorrect Answer
    C Rs.12,000 Correct Answer Incorrect Answer
    D Rs.17,000 Correct Answer Incorrect Answer
    E None of these Correct Answer Incorrect Answer

    Solution

    ATQ,

    Let the initial incomes of 'P' and 'Q' be Rs. '7x' and Rs. '12x', respectively. So, new income of 'P' = 7x × 1.3 = Rs. '9.1x' And new income of 'Q' = Rs. '12x - 2000' And income of 'R' = (12x - 2000) × (10/9) ATQ; (12x - 2000) × (10/9) = 5000 + 7x Or, 120x - 20000 = 45000 + 63x Or, 57000 = 57x So, x = 1000 So, new income of 'P' = 9.1 × 1000 = Rs. 9,100

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