14. Mary saves for a holiday each year. In 2020 she saved a total of \( \$ 720 \) In 2021 , each month she saved \( \$ 78 \) The total amount Mary saved in 2021 was \( P \% \) more than the total she saved in 2020 (a) Work out the value of \( P \)

To determine the value of \( P \), which represents the percentage increase in Mary's savings from 2020 to 2021, follow these steps: 1. **Calculate Mary's Total Savings in 2021:** Mary saved \( \$78 \) each month in 2021. Therefore, her total savings for the year would be: \[ 78 \, \text{(dollars/month)} \times 12 \, \text{(months)} = 936 \, \text{dollars} \] 2. **Determine the Increase in Savings from 2020 to 2021:** - **Savings in 2020:** \( \$720 \) - **Savings in 2021:** \( \$936 \) The increase in savings is: \[ 936 \, \text{dollars} - 720 \, \text{dollars} = 216 \, \text{dollars} \] 3. **Calculate the Percentage Increase (\( P \)):** The percentage increase is calculated by dividing the increase by the original amount (2020 savings) and then multiplying by 100: \[ P = \left( \frac{216}{720} \right) \times 100 = 30\% \] **Answer:** \( P = 30\% \)