Question

Find out the ratio between the cost of a pencil and that of a pen when pencils cost ₹24 per score and pens cost ₹ 16.80 per dozen.
1 dozen=12 items
1 score =20 items

Answer 1

Heya !!

$\text{Cost of pencils per score (20) = Rs. 24}\\\\\implies \text{Cost of one pencil = Rs. \dfrac{24}{20} = \dfrac{12}{10} = \dfrac{6}{5} }\\\\\text{Now, Cost of pens per dozen (12) = Rs. 16.8 \: or \: Rs. \dfrac{168}{10} }\\\\\implies \text{Cost of one pen = Rs. \dfrac{168}{10 \times 12} = \dfrac{14}{10} }\\\\\text{Now, ratio between cost of pencil to cost of pen = \dfrac{6}{5} \div \dfrac{14}{10} }\\\\= \dfrac{6}{5} \times \dfrac{10}{14}\\\\= \dfrac{3 \times 2}{1 \times 7}$

$= \large \dfrac{6}{7} \: \: or \: \: \underline{\boxed{\boxed{6:7}}}$

Hope it helps !!

Answer 2

Step-by-step explanation:

solution:-

1 dozen=12 items

1 score=20 items

pencil cost= 24 per score

pen cost =16.80 per dozen

1. cost of 1 pencil= 24apon 20 = 1.2

cost of, 1 pen =16.80apon 12=1.40

Ratio of cost of pencil and pen

= _1.20__= 12 apon 14 = 6 apon 7

1.40

= _6_

7

= 6:7 answer