Higher November 2022 Paper 2 Q10
10 Aaliyah bought a car.
In the first year after she bought the car, its value depreciated at a rate of 23% per annum.
In the second year after she bought the car, its value depreciated at a rate of 19% per annum.
At the end of the second year the car was worth £10 914.75
What was the value of the car when Aaliyah bought it? (3)
| Answer | Mark | Mark scheme |
|---|---|---|
| 17500 | P1 | for a process to find the value at the end of year 1, eg \(10914.75 \div 0.81\ (= 13475)\) or \(10914.75 \div 0.77\ (= 14175)\) or for finding the combined multiplier, eg \(0.77 \times 0.81\ (= 0.6237)\) |
| P1 | for a complete process to find the initial value, eg \(\text{``}13475\text{''} \div 0.77\) or \(\text{``}14175\text{''} \div 0.81\) or \(10914.75 \div \text{``}0.6237\text{''}\) | |
| A1 | cao |