Question

$4$ tables and $3$ chairs together cost Rs. $2250$ and $3$ tables and $4$ chairs cost Rs. $1950$. Find the cost of $2$ chairs and $1$ table.

• A. Rs. $150$
• B. Rs. $750$
• C. Rs. $350$
• D. Rs. $850$

Answer 1

The correct option is B Rs. $750$

Suppose the cost of $1$ table $=x$ and cost of $1$ chair $=y$
Then according to the question
$\Rightarrow 4x+3y=2250$...........(1)
$\Rightarrow 3x+4y=1950$.............(2)

Multiply (1) by $4$ and (2) by $3$ and Subtract both
$\Rightarrow (16x+12y=9000)-(9x+12y=5850)$

$\Rightarrow 7x=3150\Rightarrow x=450$

Put $x=450$ in $eq2$

$\Rightarrow 450\times 4+3y=2250\Rightarrow 3y=2250-1800\Rightarrow 3y=450$

$\Rightarrow y=150$

Cost of $1$ table $=450$
Cost of $1$ chair $=150$
$\therefore$ Cost of $1$ table and $2$ chair $=450+150\times 2=750$