Two chairs and one table cost Rs.400, while one table and one chair cost Rs 300. What is the price of the table?
Answer: Rs.200
Explanation
Given :
- Two chairs and one table cost Rs.400, while one table and one chair cost Rs.300.
To Find :
- The price of the table.
Solution :
Let us assume that, the price of one table is "x" and the price of one chair is "y" respectively.
As it is given that, two chairs and one table cost Rs.400.
→ x + 2y = 400 .......(1)
As it is also given that, one table and one chair cost Rs.300.
→ x + y = 300 ........(2)
Our equation are,
- x + 2y = 400 .......(1)
- x + y = 300 ........(2)
Subtract equation (2) from equation (1),
→ (x + 2y) - (x + y) = 400 - 300
→ x + 2y - x - y = 400 - 300
→ x - x + 2y - y = 400 - 300
→ 2y - y = 400 - 300
→ y = 400 - 300
→ y = 100
Now, substitute the value of y in equation (2),
→ x + y = 300
→ x + 100 = 300
→ x = 300 - 100
→ x = 200
Hence, the price of the table is Rs.200.
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