Mathematics2 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(2x+3y=2000)
    6x+9y=6000............. (3)
    Similarly,
    2(3x+2y=2500)
    6x+4y=5000.............(4)
    Subtracting equations (4) from (3),
      6x+9y(6x+4y) =60005000 5y =1000 y =200  
    Substituting the value of y in equation (2) and finding the value of x.  3x+2(200) =2500 3x+400 =2500 3x =2100 x =700  
    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.
    x+5y =700+5(200) x+5y =700+1000 x+5y =1700   Therefore, the cost of 1 table and 5 chairs is Rs. 1700.
    Hence, option (1) is correct.
     
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