Question

x and y vary directly. When x = 3, then y = 36. What will be the value of x when y = 96? 

A. 18 

B. 12 

C. 8 

D. 4

Answer 1

We use the relation \(\frac{\text{x}}{y}=\frac{\text{x}}{Y}\) Here x₁ = 3, y₁ = 36 and y₂ = 96 

Here, \(\frac{3}{36}=\frac{\text{x}{_1}}{96}\)

⇒ x₁ × 36 = 3 × 96

⇒ x₁ = \(\frac{3\,\times\,96}{36}\) = 8