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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

✅ Correct Option: 2

Let cc = Cost of 1 chair (in ₹)

Let tt = Cost of 1 table (in ₹)


From the given information:

Seven chairs and three tables cost ₹7400:

7c+3t=74007c + 3t = 7400 ... (Equation 1)

Three chairs and five tables cost ₹5400:

3c+5t=54003c + 5t = 5400 ... (Equation 2)


To eliminate tt, multiply Equation 1 by 5 and Equation 2 by 3:

35c+15t=3700035c + 15t = 37000 ... (Equation 3)

9c+15t=162009c + 15t = 16200 ... (Equation 4)


Subtracting Equation 4 from Equation 3:

35c+15t−(9c+15t)=37000−1620035c + 15t - (9c + 15t) = 37000 - 16200

26c=2080026c = 20800

c=800c = 800

Therefore, cost of 1 chair = ₹800


Substituting c=800c = 800 into Equation 1:

7(800)+3t=74007(800) + 3t = 7400

5600+3t=74005600 + 3t = 7400

3t=18003t = 1800

t=600t = 600

Therefore, cost of 1 table = ₹600


The total cost of 1 chair and 2 tables:

c+2tc + 2t

=800+2(600)= 800 + 2(600)

=800+1200= 800 + 1200

=2000= 2000

Therefore, the total cost of 1 chair and 2 tables is ₹2000.

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