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    Question

    The sum of the original incomes of ‘P’ and ‘Q’

    is Rs. 90000. If the income of ‘P’ had been Rs. 30000 more, then his income would have been 50% more than the original income of ‘Q’. ‘P’ and ‘Q’ spend 80% and 70% of their respective original incomes. Find the difference between savings of ‘P’ and ‘Q’.
    A Rs. 6000 Correct Answer Incorrect Answer
    B Rs. 7000 Correct Answer Incorrect Answer
    C Rs. 8000 Correct Answer Incorrect Answer
    D Rs. 5000 Correct Answer Incorrect Answer
    E Rs. 9000 Correct Answer Incorrect Answer

    Solution

    Let the original income of ‘P’ be Rs. x Therefore, original income of ‘Q’ = Rs. (90000 – x) According to the question, (x + 30000) = 1.5(90000 – x) Or, x + 30000 = 135000 – 1.5x Or, 2.5x = 105000 Or, x = 42000 Therefore, income of ‘P’ = Rs. 42000
    Income of ‘Q’ = Rs. 48000 Savings of ‘P’ = 0.20 × 42000 = Rs. 8400
    Savings of ‘Q’ = 0.30 × 48000 = Rs. 14400 Required difference = 14400 – 8400 = Rs. 6000

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