2 tables and 3 chairs together cost Rs. 2000 whereas 3 tables and 2 chairs together cost Rs. 2500.
Find the total cost of 1 t

1 thought on “2 tables and 3 chairs together cost Rs. 2000 whereas 3 tables and 2 chairs together cost Rs. 2500.<br />Find the total cost of 1 t”

1. Given :

   • 2 tables and 3 chairs together cost Rs. 2000 whereas 3 tables and 2 chairs together cost Rs 2500

   To Find :

   • The cost of 1 table and 5 chairs.

   Solution :

   According to the question,

   Let,

   • The cost of 1 table and 1 chair be x & y.

   2x + 3y = 2000 …(i)

   3x + 2y = 2500 …(ii)

   From equation (i),

   2x + 3y = 2000

   x = 2000 – 3y/2

   Putting the value of x in equation (ii)

   → 3x + 2y = 2500

   → 3(2000 – 3y/2) + 2y = 2500

   → 6000 – 9y/2+ 2y = 2500

   → 6000 – 9y + 4y = 2500 × 2

   → 6000 – 5y = 5000

   → -5y = 5000 – 6000

   → -5y = – 1000

   → y = 200

   Substituting the value of x in equation (i)

   → 2x + 3y = 2000

   → 2x + 3(200) = 2000

   → 2x + 600 = 2000

   → 2x = 1400

   → x = 700

   So, the cost of 1 table is Rs 700

   and the cost of 5 chair is 5 × 200 = Rs 1000

   Reply