Question

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

• A. ₹ 800
• B. ₹ 850
• C. ₹ 900
• D. ₹ 950

Answer 1

The correct option is B ₹ 850

Let the cost of a chair be $x$ and cost of a table be $y$.
Now, we have
$3x+2y=1850$ .....(i)
$5x+3y=2850$ .....(ii)

On multiplying (i) by 5 and (ii) by 3, we get
$15x+10y=9250$ .....(1)
$15x+9y=8550$ ......(2)

On subtracting (2) from (1), we get
$y=700$

On substituting the value of y in (i) we get
$3x+1400=1850$
$\Rightarrow 3x=450$
$\Rightarrow x=150$
$\Rightarrow x+y=850$

$\therefore$ The total cost of one chair and one table is ₹ 850.