Question

    The sum of the original incomes of β€˜P’ and β€˜Q’

    is Rs. 90000. If the income of β€˜P’ had been Rs. 30000 more, then his income would have been 50% more than the original income of β€˜Q’. β€˜P’ and β€˜Q’ spend 80% and 70% of their respective original incomes. Find the difference between savings of β€˜P’ and β€˜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 β€˜P’ be Rs. x Therefore, original income of β€˜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 β€˜P’ = Rs. 42000
    Income of β€˜Q’ = Rs. 48000 Savings of β€˜P’ = 0.20 Γ— 42000 = Rs. 8400
    Savings of β€˜Q’ = 0.30 Γ— 48000 = Rs. 14400 Required difference = 14400 – 8400 = Rs. 6000

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