Math, asked by kavya6482, 8 months ago

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36. A part of monthly expenditure of a family is constant and the remaining
varies with the price of wheat. When the price of wheat is 800 per
quintal, the total monthly expenditures is 5400 and when it is ? 1000
per quintal, the total monthly expenditure ? 6000. Find the total monthly
expenditure of the family when the cost of wheat is 950 per quintal​

Answers

Answered by joelpaulabraham
5

Answer:

The total monthly expenditure of the family when the cost of wheat is 950 per quintal is Rs. 5850

Step-by-step explanation:

Let the constant monthly expenditure be Rs.'x' and the amount of wheat they buy be 'y' Quintal

We know that,

Monthly expense (constant) + (Rate × amount of wheat) = Total monthly expenditure

Now, According to the Question,

Case 1

x + 800y = 5400 ----- 1

Case 2

x + 1000y = 6000 ------ 2

Let's Subtract eq.1 from eq.2, we get,

x + 1000y = 6000

– x + 800y = 5400

————————————

0 + 200y = 600

————————————

y = 600/200 = 3

Putting y = 3 in eq.2 we get,

x + 1000(3) = 6000

x = 6000 - 3000 = 3000

Thus, the family has a monthly expense of

Rs.3000 and then buy's additional 3 Quintals of wheat

Now, If the rate of wheat comes to Rs.950 per Quintal

then the family's total monthly expenditure = 3000 + 950(3) = 3000 + 2850 = Rs. 5850

Thus, the total monthly expenditure of the family when the cost of wheat is 950 per quintal is Rs. 5850

Hope it helped and you understood it........All the best

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