Question 07.
A batch of bottles was packed in 25 boxes with 12 bottles in each box. If the same batch is packed using 20 bottles in each box, how many boxes would be filled?

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Solution

Let the number of boxes be x.
$\begin{matrix} N o . o f b o t t l e s i n e a c h b o x & 12 & 20 D a y s & 25 & x \end{matrix}$
Here the number of persons and the number of days are in inverse proportion.
$∴ \frac{12}{20} = \frac{x}{25} \Rightarrow x \times 20 = 12 \times 25 \Rightarrow x = \frac{12 \times 25}{20} = 15 b o x e s$
Hence, 15 boxes would be filled.

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Relation for Inverse Proportion

Standard VIII Mathematics

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Question 07. A batch of bottles was packed in 25 boxes with 12 bottles in each box. If the same batch is packed using 20 bottles in each box, how many boxes would be filled?

Let the number of boxes be x. No. of bottles in each box1220Days25x Here the number of persons and the number of days are in inverse proportion. ∴ 1220=x25⇒ x×20=12×25⇒ x=12×2520=15 boxes Hence, 15 boxes would be filled.

Question 07.
A batch of bottles was packed in 25 boxes with 12 bottles in each box. If the same batch is packed using 20 bottles in each box, how many boxes would be filled?