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Question

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 Rs. 250 per quintal, the total monthly expenses are Rs. 1000 and when it is Rs. 240 per quintal, the total monthly expenses are Rs. 980 per quintal. The total monthly expenses of the family when the cost of wheat is Rs. 350 per quintal, will be:

A
Rs. 500
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B
Rs. 1200
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C
Rs. 1200
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D
Rs. 500
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Solution

The correct option is B Rs. 1200Let the constant part of the expenditure = Rs. xand the variable part = Rs. y× price of wheat.Given that when the price of wheat is Rs. 250 per quintal, the total expenses are Rs. 1000.∴x+250y=1000...(1)Given also that when the price of wheat is Rs. 240 per quintal, the total expense are Rs. 980∴x+240y=980...(2)Subtracting (2) from (1),10y=20⟶y=2Substituting this value of y in (1)x+250(2)=1000⇒x=1000−500=500Therefore, when the price of wheat is Rs. 350 per quintal,Total expenses =x+350y=500+350(2)= Rs. 1200∴ total expenses = Rs. 1200

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