A part of the monthly expenses of a family is constant and the remaining varies with the price of wheat. When the price of wheat is R s .250 per quintal, the total monthly expense is Rs. 1000

And when it is Rs. 240 per quintal, the total monthly expenses are Rs. 980 per quintal. The total quintal. The total monthly expense of the family when the cost of wheat is Rs. 350 per quintal, will be:

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500

1200

-1200

-500

answer is B.

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Detailed Solution

Concept- Assume that the family's intake of wheat is y and that the constant spending is x. based on the first stipulation. We'll switch to equation format. The second condition will then be used to create an equation. We will determine the value of xandy to the solution in these two equations.
Let the constant expenditure

And consumption of wheat by the family

Then, according to the information in the question

(I)
And, when the consumption of wheat is ₹ 240 per quintal and total expenses is ₹ 980

We will solve equations (i) and (ii) by eliminating method, we have

Then, the value of

, substitute in the equation for calculating the value of

, we have

Therefore, when the price of wheat is ₹ 350 per quintal,
Then,
Total expenses

(iii)
In the equation, we will substitute the value of

and

, we get
Total expense

Total expenses