Correct Answer - Option 2 : 1000
Given:
Cost price of 2 tables and 3 chairs = Rs.3500
Cost price of 3 tables 2 chairs = Rs.4000
Calculation:
Let the cost price of a table be = t
⇒ Cost price of a chair = c
2t + 3c = 3500 (1)
3t + 2c = 4000 (2)
By 2 × (1) and 3 × (2) and solving them
⇒ 4t + 6c = 7000 (3)
⇒ 9t + 6c = 12000 (4)
By (4) - (3):
9t + 6c - 4t - 6c = 12000 - 7000
⇒ 5t = 5000
⇒ t = 1000
∴ The cost of one table is Rs.1000.