Question

pencils cost ₹36 per dozen and ball pens cost ₹50 for a pack of 5 pen . Find the ratio of price of a pencil to that of a ball pen?​

Answer 1

Answer:

The ratio of price of a pencil to that of a ball pen is 3 : 10

Step-by-step explanation:

Cost of 1 dozen pencils = ₹36

Cost of 1 pencil = 36/12 ( 1 dozen = 12 units)

                          = ₹3

Cost of a pack of 5 pen = ₹50

Cost of 1 pen = 50/5

                      = ₹10

Ratio of price of a pencil to that of a ball pen = 3/10 = 3 : 10

∴ The ratio of price of a pencil to that of a ball pen is 3 : 10

Answer 2

Answer :

• 3 : 10

Given :

• Rate of pencil is Rs 36 per dozen
• Rate of pens is Rs 50 per pack

To Find :

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

We know :

• A dozen = 12
• A pack is written = 5

So :

• 1 dozen = 12 pencil
• 1 pack = 5 pen

Let's Start :

Pencil :

Rate of one pencil = x

12 pencil = Rs 36

Solution :

$\rm{x \: = \: \dfrac{36}{12}} \\ \\ \rm{x \: = \dfrac{ \cancel{36} \: { \: \: }^{6} }{\cancel{12} \: \: \: _2}} \\ \\ \rm{x \: = \: \dfrac{ \cancel{6} \: \: \: \: {}^{3} }{ \cancel{2} \: \: \: \:_1 }} \\ \\ \small\bold{x \: = \: Rs\: \large3}$

Ball pen :

Rate of one ball pen = y

5 ball pens = ₹ 50

Solution :

$\rm{x \: = \: \dfrac{50}{5}} \\ \\ \rm{x \: = \: \dfrac{ \cancel{50} \: \: \: \: {}^{10} }{ \cancel{ \: 5 \: } \: \: \: \: \: \: }} \\ \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \large {}^{ {}^{1} }\\ \small\bold{x \: = \: Rs\: \large10 }$

Therefore :

Ratio of pencil and ball pen =

$\huge \tt 3 : 10$