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Mathematics

6 notebooks cost ₹ 156, find the cost of 54 such notebooks.

Direct & Inverse Variations

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Answer

Let 54 notebooks cost ₹ x.

QuantityCost
6₹ 156
54₹ x

Since it is a case of direct variation,

∴6156=54x⇒x=54×1566⇒x=8,4246⇒x=1,404\therefore \dfrac{6}{156} = \dfrac{54}{x}\\[1em] \Rightarrow x = \dfrac{54 \times 156}{6}\\[1em] \Rightarrow x = \dfrac{8,424}{6}\\[1em] \Rightarrow x = 1,404

Hence, the cost of 54 notebooks is ₹ 1,404.

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