Question:
x is 5% of y, y is 24% of z. If x = 480, find the values of y and z.
Solution:
Given:
$x=\frac{5}{100} y$
$\Rightarrow y=\frac{100}{5} x$
$\therefore y=20 x$
Also, $y=\frac{24}{100} z$
$\therefore z=\frac{100}{24} y$
Putting $x=480$ in the above equations, we get:
$y=20(480)=9600$
$z=\frac{100}{24} \times 9600=40000$