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Question

The aggregate monthly expenditure of a family was Rs.18720 during the first 3 months, Rs.20340 during the next 4 months and Rs.21708 during the last 5 months of a year. If the total savings during the year be Rs. find the average monthly income of the family.

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Solution

The aggregate yearly expenditure of a family =Rs(18720×3)+Rs(20340×4)+Rs(21708×5)

=Rs.(56160+81360+108540)

=Rs.246060

The total savings during the year =Rs35340

Therefore the yearly income =Rs246060+Rs35340

=Rs.281400

∴ The average monthly income of the family =28140012=Rs.23450

Hence, The average monthly income of the family is Rs.23450.

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