The table, given below, shows the values of x and y, where x is proportional (directly proportional) to y.

x	y
A	12
24	B
15	20

The values of A and B are :

1. A = 16 and B = 18

2. A = 32 and B = 9

3. A = 9 and B = 32

4. A = 18 and B = 16

Given,

x is proportional to y.

$\therefore \dfrac{A}{24} = \dfrac{12}{B}$ ……..(1)

and

$\therefore \dfrac{24}{15} = \dfrac{B}{20}$ ……..(2)

Solving equation (2), we get :

$\Rightarrow B = \dfrac{24 \times 20}{15} \\[1em] \Rightarrow B = 32.$

Substituting value of B in equation 1 :

$\Rightarrow \dfrac{A}{24} = \dfrac{12}{32} \\[1em] \Rightarrow A = \dfrac{12 \times 24}{32} \\[1em] \Rightarrow A = 9.$

Hence, Option 3 is the correct option.