Express \( P \) as a percentage of \( Q \) in each of the following. (a) \( P=\$ 250, Q=\$ 1000 \) (b) \( P=12 \mathrm{~m}, Q=15 \mathrm{~m} \) (c) \( P=20 \mathrm{~kg}, Q=25 \mathrm{~kg} \) (d) \( P=375 \mathrm{~cm}^{3}, Q=200 \mathrm{~cm}^{3} \)

To express \( P \) as a percentage of \( Q \), you can use the formula: \[ \text{Percentage} = \left( \frac{P}{Q} \right) \times 100\% \] Let's apply this formula to each part: ### (a) \( P = \$250 \), \( Q = \$1000 \) \[ \text{Percentage} = \left( \frac{250}{1000} \right) \times 100\% = 25\% \] **Answer:** 25% --- ### (b) \( P = 12 \, \text{m} \), \( Q = 15 \, \text{m} \) \[ \text{Percentage} = \left( \frac{12}{15} \right) \times 100\% = 80\% \] **Answer:** 80% --- ### (c) \( P = 20 \, \text{kg} \), \( Q = 25 \, \text{kg} \) \[ \text{Percentage} = \left( \frac{20}{25} \right) \times 100\% = 80\% \] **Answer:** 80% --- ### (d) \( P = 375 \, \text{cm}^3 \), \( Q = 200 \, \text{cm}^3 \) \[ \text{Percentage} = \left( \frac{375}{200} \right) \times 100\% = 187.5\% \] **Answer:** 187.5% --- **Summary:** - **(a)** 25% - **(b)** 80% - **(c)** 80% - **(d)** 187.5%