Question

If \( x \) is 5% of \( y \), and \( y \) is 24% of \( z \). If \( x = 480 \), then the values of \( y \) and \( z \) are:

• A. \( y = 9000, z = 30000 \)
• B. \( y = 9600, z = 40000 \)
• C. \( y = 8000, z = 25000 \)
• D. \( y = 7600, z = 20000 \)

Hint:

To find a percentage-based value, rewrite the percentage as a fraction or decimal and solve step by step.

Answer 1

The Correct Option is B

Given: - \( x = 5% \) of \( y \): \[ x = 0.05y \] - \( y = 24% \) of \( z \): \[ y = 0.24z \] Since \( x = 480 \), substituting in the first equation: \[ 480 = 0.05y \] \[ y = \frac{480}{0.05} = 9600 \] Now, solving for \( z \): \[ 9600 = 0.24z \] \[ z = \frac{9600}{0.24} = 40000 \]
Thus, the correct answer is \( y = 9600, z = 40000 \).