Question

find the ratio of the price of a pen to that of a ball pen of pen cost rupees 216 per dozen and the ball pen costs rupees 60 a score.​

Answer 1

Answer :

• 18 : 3

Given :

• Rate of pen is Rs 216 per dozen.
• Rate of ball pen is Rs 60 per score.

To Find :

• Ratio of the price of a pen to that of a ball pen.

We know :

• A dozen = 12
• A score = 20

So :

• 1 dozen = 12 pens
• 1 score = 20 ball pens

Let's Start :

Pen :

• Rate of one pen = x

• 12 pen = Rs 216

Solution :

• $\begin{gathered}\rm{x \: = \: \dfrac{ \cancel{216} \: \: \: {}^{108} }{ \cancel{ \: 12 \: } \: \: \: }} \\ \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \large {}^{ {}^{6} } \\ \rm{x \: = \dfrac{ \cancel{108} \: { \: \: }^{54} }{\cancel{ \: \: 6 \: \: } \: \: \: _3}} \\ \\ \rm{x \: = \: \dfrac{ \cancel{54} \: \: \: \: {}^{18} }{ \cancel{ \: 3 \: } \: \: \: \:_1 }} \\ \\ \small\bold{x \: = \: Rs\: \large18}\end{gathered}$

Ball pen :

• Rate of one ball pen = y

• 20 ball pens = Rs 60

Solution :

• $\begin{gathered} \rm{x \: = \: \dfrac{ \cancel{60} \: \: \: {}^{30} }{ \cancel{20} \: \: \: _{10}}} \\ \\ \rm{x \: = \: \dfrac{ \cancel{30} \: \: \: \: {}^{15} }{ \cancel{ 10 } \: \: \: \: \: \: }} \\ \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \large {}^{ {}^{5} }\\ \rm{x \: = \: \dfrac{ \cancel{15} \: \: \: {}^{3} }{ \cancel{ \: 5 \: } \: \: \: _{1}}} \\ \\ \small\bold{x \: = \: Rs\: \large3 }\end{gathered}$

Therefore :

Ratio of pen and ball pen =

$\huge \tt \: \: \: \: \: \: \: 18 : 3$

Answer 2

Answer:

18:3

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