Foundation November 2020 Paper 2 Q20
20 Himari’s annual salary is 3 130 000 Japanese Yen (JPY).
She gets a salary increase of 4%
Kaito bought a car.
The value of the car when Kaito bought it was 750 000 JPY.
At the end of each year, the value of his car had depreciated by 15%
Give your answer correct to the nearest JPY. (3)
| Scheme | Marks |
|---|---|
| 1.04 × 3 130 000 oe | M2 |
| 3 255 200 | A1 |
| (3) |
Notes
M2: complete method to increase salary by 4%
M1 for 0.04 × 3 130 000 oe (= 125 200)
| Scheme | Marks |
|---|---|
| for 0.15 × 750 000 oe (= 112 500) or 0.85 × 750 000 oe (637 500) or \(750\,000 \times 0.85^3\) | M1 |
| 0.85 × “637 500” (= 541 875) oe 0.85 × “541 875” (= 460 593.75) oe | M1 |
| 460 594 | A1 |
| (3) | |
| (6 marks) |
Notes
M1: For method to find depreciation for 1 year or value after 1 year
OR M2 for \(750\,000 \times 0.85^3\) (= 460 593.75) or \(750\,000 \times 0.85^4\) (= 391 504.69)
(M1 for \(750\,000 \times 0.85^2\) (= 541 875))
M1: for completing method
A1: accept 460 593 – 460 594
SC: if no other marks gained award M1 for 0.55 × 750 000 oe (= 412 500) or 0.45 × 750 000 oe (= 337 500)
accept (1 – 0.15) as equivalent to 0.85 throughout