Foundation November 2023 Paper 3 Q21
21 Carly’s total annual pay = salary + bonus
| Salary | Bonus | |
|---|---|---|
| Last year | £26 000 | £4000 |
| This year | 6% increase | 9% decrease |
Work out the percentage change in her total annual pay.
State whether it is an increase or a decrease. [4 marks]
| Answer | Mark | Comments |
|---|---|---|
| Method to calculate the increase on the salary or the decrease to the bonus or decimal multiplier 1.06 or 0.91 | M1 | eg \(26\,000 \times 0.06\) or 1560 or \(4000 \times 0.09\) or 360 oe fraction |
| Method to calculate the value of the increased salary or the decreased bonus or Method to calculate the difference between the increase on the salary and the decrease to the bonus | M1dep | eg \(26\,000 \times 1.06\) or 27 560 or \(4000 \times 0.91\) or 3640 eg their \(1560 -\) their 360 or 1200 31 200 implies M2 |
| Method to calculate the decimal multiplier or percentage of the total annual pay or 1.04 or 104(%) or Method to calculate the decimal multiplier or percentage change in the total annual pay or 0.04 or 4(%) | M1 | eg \(\dfrac{31\,200}{30\,000}\) oe eg \(\dfrac{\text{their } 1560 - \text{their } 360}{26\,000 + 4000}\) or \(\dfrac{1200}{30\,000}\) oe |
| 4(%) increase | A1 |
Additional guidance
| For first M mark do not accept a misread of increase for decrease eg 1.09 | M0 |
| \(26\,000 \times 1.06 = 27\,560\) and \(4000 \times 1.09 = 4360\) \(27\,560 + 4360 = 31\,920\) and \(\dfrac{31\,920}{30\,000}\) | M1M1M1A0 |
| \(24\,440 + 4360 = 28\,800\) and \(\dfrac{28\,800}{30\,000}\) | M0M0M1 |
| \(100 + 6 = 106\%\) | M0 |
| \(26\,000 \times 1.06\%\) | M1M0 |