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The Price of 10 Chairs is Equal to that of 4 Tables. The Price of 15 Chairs and 2 Tables Together is Rs. 4000. The Total Price of 12 Chairs and 3 Tables?

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Explanation

  • The price of 10 chairs is equal to that of 4 tables.
  • The price of 15 chairs and 2 tables together is Rs. 4000.

Let suppose the price of one chair is “c” and one table is “t”. This shows that

10c = 4t ________ (i)

As the price of 10 chairs is equal to that of 4 tables.

15c + 2t = 4000 ________ (ii)

As the price of 15 chairs and 2 tables together is Rs. 4000.

By solving equation (i) and (ii) simultaneously; we can find out the price of one chair and one table and after knowing this, we can easily find out the price of 12 chairs and 3 tables.

To Find

Price of 12 chairs and 3 tables = ?

Solution

Let suppose

Price of one chair = c

Price of one table = t

10c = 4t (given)

5c = 2t

5c – 2t = 0 ________ (i)

15c + 2t = 4000 ________(ii)

Adding equation (i) and (ii)

20c = 4000

c = 200 putting in equation (i)

5(200) – 2t = 0

1000 = 2t

t = 500

Price of 12 chairs = 12(200) = Rs. 2400

Price of 3 tables = 3(500) = Rs. 1500

Price of 12 chairs and 3 tables = 2400 +1500 = Rs. 3900 answer

Conclusion

The price of 10 chairs is equal to that of 4 tables. The price of 15 chairs and 2 tables together is Rs. 4000. The total price of 12 chairs and 3 tables would be Rs. 3900.

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