MathematicsA 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. 1000And 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:

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:


  1. A
    500
  2. B
    1200
  3. C
    -1200
  4. D
    -500 

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    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 Total expenses Thus, total monthly expenses of the family is ₹ 1200
    So, the correct answer is "Option 2".
     
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