Question

Five tables and eight chairs cost Rs. $7,350$; three tables and five chairs cost Rs. $4,475$. The price of a table is

• A. Rs. $950$
• B. Rs. $325$
• C. Rs. $925$
• D. Rs. $350$

Answer 1

The correct option is A Rs. $950$

Let the cost of the table be Rs. $x$
and the cost of the chair be Rs. $y$
Now, $5x+8y=7350$-----$\left(i\right)$
and $3x+5y=4475$-----$\left(ii\right)$
$\left(i\right)\times 5$
$=>25x+40y=36750$-------$\left(iii\right)$
$\left(ii\right)\times 8$
$=>24x+40y=35800$-------$\left(iv\right)$
$\left(iii\right)-\left(iv\right)$
$=>x=950$
Thus, the cost of the table is Rs. $950$