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Question

# A part of monthly expenses of a family is constant and the remaining vary with the number of members in the family. For a family of 4 person, the total monthly expenses are Rs 10,400 whereas for a family of 7 persons, the total monthly expenses are Rs 15,800. Find the constant expenses per month and the monthly expenses of each member of a family.

A
Rs 1,200 and Rs 1,900
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B
Rs 4,200 and Rs 2,800
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C
Rs 5,200 and Rs 2,800
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D
Rs 3,200 and Rs 1,800
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Solution

## The correct option is D Rs 3,200 and Rs 1,800Let the number of family members be x and the constant expense be yGiven, 4x+y=10400 --- (1)And 7x+y=15800 -- (2) Subtracting equation (1)From (2), we get 3x=5400=>x=1800 Substituting x=1800 in the equation (1), we get 4(1800)+y=10400=>y=3200Hence, constant expenses =Rs3200 and expenditure per person =Rs.1800

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