Higher January 2023 Paper 1R Q4
4 Divya and Yuan each pay for a holiday at a special offer price.
| Divya’s holiday Normal price: \(\$\)1600 Special offer: 16% off the normal price | Yuan’s holiday Normal price: \(\$\)1400 Special offer: \(k\)% off the normal price |
The amount that Divya pays is the same as the amount that Yuan pays.
Work out the value of \(k\)
(4)
| Scheme | Marks |
|---|---|
| 1600 × 0.16 (= 256) oe or 1 − 0.16 (= 0.84) oe | M1 |
| \(1600 - \text{``}{256}\text{''}\) or \(1600 \times \text{``}{0.84}\text{''}\;(= 1344)\) | M1 |
\(\dfrac{\text{``}{1344}\text{''}}{1400}\;(= 0.96)\) or \(\dfrac{1400 - \text{``}{1344}\text{''}}{1400}\;(= 0.04)\) or \(\dfrac{\text{``}{1344}\text{''}}{1400} \times 100\;(= 96)\) or \(\dfrac{1400 - \text{``}{1344}\text{''}}{1400} \times 100\) | M1 |
| Correct answer scores full marks (unless from obvious incorrect working) Answer: 4 | A1 |
| (4) | |
| (4 marks) |
Notes
A1: SCB1 for 1856 seen if no other marks awarded