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Question

# A part of monthly expenses of a family is constant and the remaining part varies with the price of wheat. When the rate of wheat is Rs250 a quintal, the total monthly expenses of the family are Rs 1000 and when it is Rs 240 a quintal, the total monthly expenses are Rs980. Find the total monthly expenses of the family, when the cost of wheat is Rs350 a quintal.

A
Rs 1500
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B
Rs 2000
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C
Rs 1200
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D
Rs 1600
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Solution

## The correct option is C Rs 1200Let K be the constant part of monthly expenseMonthly expense when rate of wheat is Rs250perquintal=Rs1000∴250a+k=1000 →(1)Here ais number of quintals bought by family per month.Monthly expense when rate of wheat is Rs240perquintal=Rs980∴240a+k=980 →(2)(1)−(2)⇒10a=20⇒a=2∴k=980−480k=500∴total monthly expense when rate of wheat is Rs 350 per quintal=350(2)+500=Rs1200

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