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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.
