If x% of 24 = 10% of 72 then the value of x is:

The correct answer is Option (1) → 30

\(x\%\) of a number means \(\frac{x}{100}\) times the number, so the right-hand side is worked out first and then \(x\) is found.

• 10% of 72 \(=7.2\)

• Setting \(x\%\) of 24 equal to it: \(\displaystyle \frac{x}{100}\times24=7.2\)

• \(\displaystyle x=\frac{7.2\times100}{24}=30\)