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find the ratio of the price of a pencil to that of a ball pen if pencils cost rs 96 per score and ball pens cost rs 50.40 per dozen.
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find the ratio of the price of a pencil to that of a ball pen if penci...
Ratio of the price of a pencil to that of a ball pen:

To find the ratio of the price of a pencil to that of a ball pen, we need to compare the prices of both items. The given information states that pencils cost Rs 96 per score (which means 20 pencils) and ball pens cost Rs 50.40 per dozen (which means 12 ball pens).

Calculating the cost of a pencil:

To calculate the cost of a single pencil, we divide the cost of a score of pencils (Rs 96) by the number of pencils in a score (20).

Cost of a pencil = Rs 96 ÷ 20 = Rs 4.80

Calculating the cost of a ball pen:

To calculate the cost of a single ball pen, we divide the cost of a dozen ball pens (Rs 50.40) by the number of ball pens in a dozen (12).

Cost of a ball pen = Rs 50.40 ÷ 12 = Rs 4.20

Calculating the ratio:

Now, we can calculate the ratio of the price of a pencil to that of a ball pen by dividing the cost of a pencil by the cost of a ball pen.

Ratio = Cost of a pencil / Cost of a ball pen
= Rs 4.80 / Rs 4.20
= 12 / 10
= 6 / 5

Therefore, the ratio of the price of a pencil to that of a ball pen is 6:5.

Explanation:

The ratio of the price of a pencil to that of a ball pen is derived by comparing the cost of a pencil to the cost of a ball pen. By dividing the cost of a pencil by the cost of a ball pen, we obtain the ratio. In this case, the cost of a pencil is Rs 4.80 and the cost of a ball pen is Rs 4.20. Thus, the ratio is 6:5, indicating that the price of a pencil is 6/5 times the price of a ball pen.
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