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If 2 Tables and 3 Chairs Cost Rs. 3500 and 3 Tables and 2 Chairs Cost Rs. 4000, then How Much does a Table Cost?

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Explanation

  • If 2 tables and 3 chairs cost Rs. 3500.
  • 3 tables and 2 chairs cost Rs. 4000

Then price of a table can be calculate as;

Let suppose “t” shows price of a table and “c” price of a chair. Now 2t + 3c will be equal to Rs. 3500;

2t + 3c = 3500 ________ (i)

In the same way; 3 tables and 2 chairs will be equal to Rs. 4000;

3t + 2c = 4000 ________ (ii)

Now; we have two equation and by solving them simultaneously we can easily figure out the price of a table.

To Find

Price of a table = ?

Solution

Let suppose

Price of a chair = c

Price of t table = t

Now;

2t + 3c = 3500 ________ (i)

3t + 2c = 4000 ________ (ii)

Multiplying both sides of equation (i) with 2 and equation (ii) with 3.

4t + 6c = 7000 ________ (iii)

9t + 6c = 12000 ________ (iv)

Subtracting equation (iv) from (iii)

5t = 5000

t = Rs. 1000 answer

Conclusion

If 2 tables and 3 chairs cost Rs. 3500 and 3 tables and 2 chairs cost Rs. 4000, then price of a table would be Rs. 1000.

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