Question

The cost of a pen and a note book is Rs. $60$. The cost of a pen is Rs. $10$ less than that of a notebook. Find the cost of each.

Answer 1

Let the cost of a pen = Rs. x

Let the cost of a note book = Rs. y

From given data we have

$x+y=60$ ........ (1)

$x=y-10$ ........ (2)

Substituting x in (1) we get, $y-10+y=60$

$\Rightarrow y+y=60+10\Rightarrow 2y=70$

$\therefore y=\frac{70}{2}=35$

Substituting y = 35 in (2) we get, x = 35 - 10 = 25

$\therefore$ The cost of a pen is Rs. 25.

The cost of a note book is Rs. 35.