Question

Find the ratio of price of a pencil to that of a ball pen. If the pencil costs Rs.96 per score and the ball pen costs Rs.50.40 per dozen.

Answer 1

Hint: To solve this problem we need to know the value of given units, here in the given problem they have used scores and dozens. We know that 1 score is equal to 20 units and 1dozen is equal to 12 items.

Complete Step-by-Step solution:
Given that
Cost of one score of pencils=Rs.96
Since we know that 1score=20 units.
Given,
1score = Rs96
20Pencils = Rs.96
1pencil=$\dfrac{{96}}{{20}} = 4.8$
Therefore the cost 1 pencil =Rs.4.8
And also given that 1 ball pen =Rs.50.40 per dozen.
Since we know that 1 dozen =12 items.
Then,
1dozen = Rs.50.40
12 ball pens =Rs.50.40
1 ball pen=$\dfrac{{50.40}}{{20}} = 4.2$
Therefore the cost of 1 ball pen = $Rs.4.2$
Here we have to find the ratio of a pencil to that of a ball pen.
$\therefore \left( {\dfrac{{1Pencil}}{{1pen}}} \right) = \dfrac{{4.8}}{{4.2}} = \dfrac{8}{7}$
Therefore the ratio of a pencil to that of a pen is 8:7.

NOTE: In the above problem before solving the solution we have to know the values of given units. Here the given units are scores and dozens where we know that 1 score is equal to 20 units and 1 dozen is equal to 12 items. Then to find their ratio we have to find the price 1 pen and 1 pencil by using the given units.