Question

x is 5% of y, y is 24% of z. If x = 480, find the values of y and z.

Answer 1

$$\begin{gathered} \mathrm{Given}: \\ x=\frac{5}{100}y \\ \Rightarrow y=\frac{100}{5}x \\ \therefore y=20x \\ \mathrm{Also},y=\frac{24}{100}z \\ \therefore z=\frac{100}{24}y \\ \mathrm{Putting}x=480\mathrm{in}\mathrm{the}\mathrm{above}\mathrm{equations},\mathrm{w}e\mathrm{get}: \\ y=20\left(480\right)=9600 \\ z=\frac{100}{24}\times 9600=40000 \end{gathered}$$