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That variesemesand00436. A part of monthly expenditure of a family is constant and the remainingvaries with the price of wheat. When the price of wheat is 800 perquintal, the total monthly expenditures is 5400 and when it is ? 1000per quintal, the total monthly expenditure ? 6000. Find the total monthlyexpenditure of the family when the cost of wheat is 950 per quintal |
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Answer» 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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