Question

The cost of 3 chairs and 4 table is Rs. 5800. The cost of 5 chairs and 3 tables is Rs. 7200. What is the cost of one chair and one table?

• A. Rs. 2000
• B. Rs. 1800
• C. Rs. 1875
• D. Rs. 1600
• E. Cannot be determined

Answer 1

The correct option is E Cannot be determined

First Equation: 3x + 4y = 5800 $\Rightarrow$ 9x + 12y = 17400
Second Equation 5x + 3y = 6000 $\Rightarrow$ 20x + 12y = 24000
By subtracting the first equation from the second: 11x = 6600 $\Rightarrow$ x = 600
Substituting the value of x in any of the given equations we would get the value of y = 1000