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’.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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