# A part of monthly expenses of a family is constant and the remaining varies with the price of wheat. When the rate of wheat is Rs.250 a quintal,the total monthly expenses of the family are Rs.1,000 and when it is Rs.240 a quintal, the total monthly expenses are Rs.980.Find the total monthly expenses of the family.

1
by atkh

2015-05-01T15:18:00+05:30

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Assigning the constant expenses part b, the total expense can be expressed as
total expenses=m(price of the wheat)+b
change shape into
f(x)=mx+b
We have when x=250, f(x)=1000 and when x=240, f(x)=980
i.e. 1000=250m+b and 980=240m+b
Solve those: m=2, b=500
the monthly expenses of the family when the cost of wheat is rs.350 per quintal:
f(350)=2*350+500=1200