Question

Three chairs and two tables cost Rs1,850. Five chairs and three tables cost Rs 2,850. Then the total cost of one chair and one table is

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

Answer 1

The correct option is B Rs 850

Let cost of one chair be Rs $x$ and cost of one table be Rs $y$
Now as per the question,
$3x+2y=1850$ .....(1)
$5x+3y=2850$ ......(2)
Now mutiplying equation (1) by 5 and equation (2) by 3
$15x+10y=9250$ .....(3)
$15x+9y=8550$ ......(4)
Now subtracting equation (4) from equation (3)
$\Rightarrow y=700$
Put this value in eq (1),
$\Rightarrow 3x+2\left(700\right)=1850$
$3x+1400=1850$
$3x=450$
$x=150$
Now total cost of 1 chair and 1 table = $x+y$
$=150+700=850$
So, total cost of 1 chair and 1 table is Rs 850