Question

In a stationary shop, cost of 3 geometry box exceeds the price of 2 pens by Rs. 2. Also, total price of 7 geometry box and 3 pens is Rs. 43. Find the cost of one geometry box and pen.

• A. Rs. 6 and Rs. 8
• B. Rs. 4 and Rs. 5
• C. Rs. 3 and Rs. 4
• D. Rs. 2 and Rs. 5

Answer 1

Answer: (B)

Rs. 4 and Rs. 5

Let be assume geometry box $=x$ and pen $=y$
As per the given statement from an equation
$3x-2y=2$ -----(1)
$7x+3y=43$ -----(2)
Multiply equation (1) by 3 and equation (2) by 2 and then subtract the equation
$9x-6y=6$
$14x+6y=86$
____________
$23x=92$
$x=\frac{92}{23}=4$
Put $x=4$ in equation (1)
$3\left(4\right)-2y=2$
$12-2y=2$
$12-2=2y$
$10=2y$
$y=5$
Therefore the cost of one geometry box and pen is Rs. 4 and Rs. 5