Question
The sum of the original incomes of ‘M’ and ‘N’ is Rs. 77000. If the income of ‘M’ had been Rs. 11000 more, then it would have been 20% more than the original income of ‘N’. ‘M’ and ‘N’ spend 75% and 85% of their respective original incomes. Find the difference between savings of ‘M’ and ‘N’.
Solution
Let the original income of ‘M’ be Rs. x Therefore, original income of ‘N’ = Rs. (77000 – x) According to the question, (x + 11000) = 1.2(77000 – x) Or, x + 11000 = 92400 – 1.2x Or, 2.2x = 81400 Or, x = 37000 Therefore, income of ‘M’ = Rs. 37000
Income of ‘N’ = Rs. 40000 Savings of ‘M’ = 25% of 37000 = Rs. 9250
Savings of ‘N’ = 15% of 40000 = Rs. 6000 Required difference = 9250 – 6000 = Rs. 3250
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