2 tables and 3 chairs together cost Rs. 2,000 whereas 3 tables and 2 chairs together cost Rs. 2,500. Find the total cost of 1 table and 5 chairs.

# 2 tables and 3 chairs together cost Rs. 2,000 whereas 3 tables and 2 chairs together cost Rs. 2,500. Find the total cost of 1 table and 5 chairs.

1. A
Rs. 1,700
2. B
Rs. 2,700
3. C
Rs. 1,200
4. D
Rs. 5,700

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### Solution:

Given that the total cost of 2 tables and 3 chairs is Rs 2,000 whereas the total cost of 3 tables and 2 chairs is Rs 2,500.
Let Rs. x be the cost of a table and Rs. y be the cost of a chair.
According to first statement,
2x+3y=2000............(1)
According to second statement,
3x+2y=2500..............(2)
Multiplying equation (1) by 3 and the equation (2) by 2 so that the coefficient of x becomes numerically equal in both the equations.
$⇒3\left($2x+3y=2000)
$⇒$ 6x+9y=6000............. (3)
Similarly,
$⇒$ 2(3x+2y=2500)
$⇒$ 6x+4y=5000.............(4)
Subtracting equations (4) from (3),

Substituting the value of y in equation (2) and finding the value of x.
Here, we are required to find the total cost of 1 table and 5 chairs.
Substituting the values of x and y in x+5y.
Therefore, the cost of 1 table and 5 chairs is Rs. 1700.
Hence, option (1) is correct.

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