Question

The cost of 9 chairs and 3 tables is Rs. 306, while the cost of 6 chairs and 3 tables is Rs. 246. Then the cost of 6 chairs and 1 table is

• A. Rs. 161
• B. Rs. 162
• C. Rs. 169
• D. Rs. 175

Answer 1

The correct option is B Rs. 162

$9x+3y=306$ ---- (1)

$6x+3y=246$ -----(2)

Subtracting eq(2) from eq(1)

$3x=60$

$x=20$

Substituting $x=20$ in eq(1)

$9\left(20\right)+3y=306$

$180+3y=306$

$3y=126$

$y=42$

Hence, $6x+y=162$.