Question

Find the ratio of the price of a pencil to that of a ball pen if pencils cost ₹96 per score and Ball pens cost 50.40 per dozen

Answer 1

the price of the pencils per score = ₹96
=> the price of a pencil = ₹96/20
= ₹4.8
the price of the ball pens per dozen = ₹50.4
=> the price of a ball pen = ₹50.4/12
=₹4.2
the required ratio =
$price \: of \: the \: pencil \div price \: of \: the \: ball \: pen$
=(4.8×10)÷(4.2 ×10)
= 48/10÷ 42/10
=48/10 * 10/42
=8:7

Answer 2

Solution

Given : Rate of pencil is ₹16 per score
Rate of pens is 8.40 per dozen

To Find : Ratio of the prices

Solution :

Score is used for 20 items

1 Score = 20 pencils

Dozen is used for 12 items

1 Dozen = 20 ball pens

Now ,

Rate of one pencil = x

20 pencil = ₹ 16

$\bold{x \: = \: \dfrac{16}{20}}$

$\bold{x \: = \: \dfrac{8}{10}}$

$\bold{x \: = \: Rs\: 0.8}$

Rate of one ball pen

12 ball pens = ₹ 8.40

$\bold{x \: = \: \dfrac{8.4}{12}}$

$\bold{x \: = \: \dfrac{84}{120}}$

$\bold{x \: = \: \dfrac{7}{10}}$

$\bold{x \: = \: Rs\: 0.7 }$

Ratio of pencil and ball pen = $\bold{\dfrac{0.8}{0.7}}$

Answer

$\bold{\boxed{\boxed{Ratio\: = \: \dfrac{8}{7} \: or \: 8\colon7}}}$