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Two tables and three chairs cost Rs. 3500, while three tables and two chairs cost Rs. 4000. The cost of the table is Rs. is?
1. 500
2. 1000
3. 1200
4. 1500

1 Answer

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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.

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