Question
'M' allocates 20% of his income to food and 40% of the
remaining amount to rent. The expenditure on education is four times higher than his savings, which constitute 1/18th of his income. In addition, his miscellaneous expenses, excluding food, rent, and education, amount to Rs. 9100. Determine the combined amount spent by 'M' on food and rent.Solution
ATQ, Let the total income of 'M' be Rs.'18a' Therefore, savings of 'M'= (1/18) × 18a = Rs.'a' Amount spend by him on education = 4 × a = Rs. 4a Amount spent by him on food = 0.2 × 18a = Rs. 3.6a Amount spent by him on rent = 0.4 × 0.8 × 18a = Rs. 5.76a ATQ, 18a – (a + 4a + 3.6a + 5.76a) = 9100 Or, a = 9100/3.64 = Rs. 2500 Required spending = (5.76a + 3.6a) = 9.36a = Rs.23400
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