Question

Find the ratio of the price of a pencil to that of a ball pen. If pencil cost $Rs.96$ per score and ball pens cost $Rs50.40$ per dozen.

Answer 1

Given:

Cost of pencils $=Rs.96$ per score

Since, $1$ score $=20$ units

$\Rightarrow$ Cost of $20$ Pencils $=Rs.96$

$\Rightarrow$ Cost $1$ Pencil $=\frac{Rs.96}{20}=Rs.4.8$

Cost of pens $=Rs.50.40$

Since, $1$ dozen $=12$ units

$\Rightarrow$ Cost of $12$ pens $=\frac{Rs.50.40}{12}=Rs.4.2$

Now, the ratio of the price of a pencil to that of a ball pen

$=\frac{\text{Cost of one Pencil}}{\text{Cost of one Pen}}$

$=\frac{4.8}{4.2}$

$=\frac{48}{42}$

$=\frac{8}{7}$

$=8:7$

Therefore, the ratio of the price of a pencil to that of a ball pen is $8:7$.