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Direct and Inverse Proportions — MATHS STD 8 — Question

Gujarat BoardEnglish MediumSTD 8MATHSDirect and Inverse Proportions2 Marks
Question
A batch of bottles were 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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Answer

Suppose that $x$ boxes would be filled. We have the following table.
Number of bottles $12$ $20$
Number of boxes $25$ $x$
Lesser the number of bottles more will be number of boxes required to be filled. So, this is a case of inverse proportion.
Hence, $12$ $\times$ $25 = 20$ $\times$ $x$
$\therefore$ $x = \frac{{12 \times 25}}{{20}}$
$\therefore$ $x = 15$
Hence, $15$ boxes would be filled.

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