Question
The sum of the original incomes of ‘X’ and ‘Y’ is Rs. 60000. If the income of ‘X’ had been Rs. 6000 more, then it would have been 20% more than the original income of ‘Y’. ‘X’ and ‘Y’ spend 80% and 75% of their respective original incomes. Find the difference between their savings.
Solution
Let the original income of ‘X’ be Rs. x Therefore, original income of ‘Y’ = Rs. (60000 – x) According to the question, (x + 6000) = 1.2(60000 – x) Or, x + 6000 = 72000 – 1.2x Or, 2.2x = 66000 Or, x = 30000 Income of ‘X’ = Rs. 30000
Income of ‘Y’ = Rs. 30000 Savings of ‘X’ = 20% of 30000 = Rs. 6000
Savings of ‘Y’ = 25% of 30000 = Rs. 7500 Required difference = Rs. 1500
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