Question

Three pen and one eraser cost Rs. 7. Two pen and one eraser cost Rs. 5. Find the cost of pen and eraser separately.

• A. Rs. 2 and Rs. 1
• B. Rs. 1 and Rs. 2
• C. Rs. -2 and Rs. 1
• D. Rs. 2 and Rs. -1

Answer 1

The correct option is A Rs. 2 and Rs. 1

Let us assume pen as x and eraser as y.
Then as per the given statement form equations,
$3x+y=7$ ----- (1)
$2x+y=5$ ----- (2)
Subtract the equations (1) and (2), we get
$x=2$
Substitute the value of x in equation (2),
$2x+y=5$
$2\left(2\right)+y=5$
$y=54$
$y=1$
Therefore, the cost of pen and eraser is Rs. 2 and Rs. 1.