Question
The sum of the original incomes of ‘R’ and ‘S’ is Rs. 60000. If the income of ‘R’ had been Rs. 6000 more, then it would have been 20% more than the original income of ‘S’. ‘R’ and ‘S’ spend 80% and 70% of their respective original incomes. Find the difference between their savings.
Solution
Let the original income of ‘R’ be Rs. x Therefore, original income of ‘S’ = 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 Therefore, income of ‘R’ = Rs. 30000
Income of ‘S’ = Rs. 30000 Savings of ‘R’ = 0.20 × 30000 = Rs. 6000
Savings of ‘S’ = 0.30 × 30000 = Rs. 9000 Required difference = 9000 – 6000 = Rs. 3000
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