X - y and x -1-2 - if y-4- z-5- then x-2 - Now- if y-20 and z-25-then x-A- 3B- 4C- 2D- 5

The correct option is C 2 x ∝ y and x ∝ 1/z ⇒ x ∝ y/z ⇒ x = k.(y/z) Putting the given values of x, y and z we get : 2 = k.(4/5) ⇒ k = 5/2 Now , putting the new ...

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Byju's Answer

Standard X

Mathematics

Joint Variation

x α y and x ∝...

Question

x ∝ y and x ∝ $\frac{1}{z}$ . if y = 4, z = 5 , then x = 2. Now, if y = 20 and z = 25 ,then x =

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Solution

The correct option is A
2

x ∝ y and x ∝ $\frac{1}{z}$

⇒ x ∝ $\frac{y}{z}$

$\Rightarrow x = k . (\frac{y}{z})$

Putting the given values of x, y and z we get :

$2 = k . (\frac{4}{5})$

$\Rightarrow k = \frac{5}{2}$

Now , putting the new value of k along with y and z we get :

x = $(\frac{5}{2}) \times (\frac{20}{25}) = 2$

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