x is 5% of y, y is 24% of z.
Question:

x is 5% of yy 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:

$y=20(480)=9600$

$z=\frac{100}{24} \times 9600=40000$

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