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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
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