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X Varies Inversely as Y, When X = 15 Then Y = 10, If X = 20 Then Y = ?. - SSC (English Medium) Class 8 - Mathematics

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Question

x varies inversely as y, when x = 15 then y = 10, if x = 20 then y = ?.

Solution

It is given that x varies inversely as y i.e. \[x \propto \frac{1}{y}\] .

∴ \[x = \frac{k}{y}\] , where k is constant of variation
⇒ x × y = k

When x = 15, y = 10.

∴ k = 15 × 10 = 150

So, the equation of variation is xy = 150.

When x = 20, 

20y = 150

⇒ y = \[\frac{150}{20}\] = 7.5

  Is there an error in this question or solution?

APPEARS IN

 Balbharati Solution for Balbharati Class 8 Mathematics (2019 to Current)
Chapter 7: Variation
Practice Set 7.2 | Q: 6 | Page no. 39
Solution X Varies Inversely as Y, When X = 15 Then Y = 10, If X = 20 Then Y = ?. Concept: Inverse Variation.
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