Let's solve this problem step by step:
1. Formulate the given information into equations. Let [tex]\( c \)[/tex] represent the cost of one chair and [tex]\( t \)[/tex] represent the cost of one table.
The first piece of information states:
[tex]\[
3c + 2t = 1850 \quad \text{(Equation 1)}
\][/tex]
The second piece of information states:
[tex]\[
5c + 3t = 2850 \quad \text{(Equation 2)}
\][/tex]
2. Solve the system of linear equations for [tex]\( c \)[/tex] and [tex]\( t \)[/tex].
From Equation 1:
[tex]\[
3c + 2t = 1850
\][/tex]
From Equation 2:
[tex]\[
5c + 3t = 2850
\][/tex]
3. Solve these equations simultaneously. One can use various methods such as substitution or elimination to find values for [tex]\( c \)[/tex] and [tex]\( t \)[/tex]. Assuming we have done this, we find the costs to be:
[tex]\[
c = 150 \quad \text{(the cost of one chair)}
\][/tex]
[tex]\[
t = 700 \quad \text{(the cost of one table)}
\][/tex]
4. Calculate the total cost of one chair and one table.
The total cost is:
[tex]\[
c + t = 150 + 700 = 850
\][/tex]
Hence, the total cost of one chair and one table is Rs. 850.
The correct answer is:
b. Rs. 850
