Seven chairs and three tables together cost ₹ 7400, three chairs and five tables together cost ₹ 5400. The total cost (in ₹) of 1 chair and 2 tables is:
Seven chairs and three tables together cost ₹ 7400, three chairs and five tables together cost ₹ 5400. The total cost (in ₹) of 1 chair and 2 tables is:
Solution
Let = Cost of 1 chair (in ₹)
Let = Cost of 1 table (in ₹)
From the given information:
Seven chairs and three tables cost ₹7400:
... (Equation 1)
Three chairs and five tables cost ₹5400:
... (Equation 2)
To eliminate , multiply Equation 1 by 5 and Equation 2 by 3:
... (Equation 3)
... (Equation 4)
Subtracting Equation 4 from Equation 3:
Therefore, cost of 1 chair = ₹800
Substituting into Equation 1:
Therefore, cost of 1 table = ₹600
The total cost of 1 chair and 2 tables:
Therefore, the total cost of 1 chair and 2 tables is ₹2000.
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