Question
The sum of the original incomes of ‘A’ and ‘B’
is Rs. 90000. If the income of ‘A’ had been Rs. 22500 more, then his income would have been 25% more than the original income of ‘B’. ‘A’ and ‘B’ spend 80% and 75% of their respective original incomes. Find the difference between their savings.Solution
Let the original income of ‘A’ be Rs. x Therefore, original income of ‘B’ = Rs. (90000 – x) According to the question, (x + 22500) = 1.25(90000 – x) Or, x + 22500 = 112500 – 1.25x Or, 2.25x = 90000 Or, x = 40000 Income of ‘A’ = Rs. 40000
Income of ‘B’ = Rs. 50000 Savings of ‘A’ = 20% of 40000 = Rs. 8000
Savings of ‘B’ = 25% of 50000 = Rs. 12500 Required difference = Rs. 4500
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