Question

Three chairs and two tables cost Rs. $1850$. Five chairs and three tables cost Rs. $2850$. Then the total cost of one chair and one table is

Answer 1

Given $2$ tables and $3$ chairs=Rs.$1850$
Let cost of $1$ chair $=Rs.x$
Cost of $1$ table $=Rs.y$
Now, we have
$3x+2y=1850\times 5$ ...(i)
$5x+3y=2850\times 3$ ...(ii)
$\Rightarrow 15x+10y=9250$ ...(1)
$15x+9y=8550$ .... (2)
Subtract (1)-(2), we get $y=700$.
Substitute values of $y$ in (1), we get
$3x+1400=1850$
$\Rightarrow 3x=450$

$\Rightarrow x=Rs.150$
$\therefore$ total cost of 1 chair and 1 table is $150+700=Rs.850$.