Higher June 2023 Paper 1 Q3
3 Nanette buys 60 notebooks for a total cost of 780 dirhams.
Nanette sells 70% of the notebooks for 22 dirhams each.
She sells the remaining notebooks for 19 dirhams each.
Work out Nanette’s percentage profit.
Give your answer correct to 3 significant figures.
(4)
| Scheme | Marks |
|---|---|
0.7 × 60 × 22 (= 924) oe or (1 – 0.7) × 60 × 19 (= 342) oe OR \(0.7 \times 60 \times \left(22 - \dfrac{780}{60}\right) (= 378)\) oe or \((1 - 0.7) \times 60 \times \left(19 - \dfrac{780}{60}\right) (= 108)\) oe | M1 |
0.7 × 60 × 22 (= 924) oe and (1 – 0.7) × 60 × 19 (= 342) oe OR \(0.7 \times 60 \times \left(22 - \dfrac{780}{60}\right) (= 378)\) oe and \((1 - 0.7) \times 60 \times \left(19 - \dfrac{780}{60}\right) (= 108)\) oe | M1 |
eg \(\dfrac{\text{``}{924}\text{''}+\text{``}{342}\text{''} - 780}{780} \times 100\) or \(\dfrac{\text{``}{924}\text{''}+\text{``}{342}\text{''}}{780} \times 100 - 100\) or \(\dfrac{\text{``}{378}\text{''}+\text{``}{108}\text{''}}{780} \times 100\) or \(\dfrac{486}{780} \times 100\) | M1 |
| Correct answer scores full marks (unless from obvious incorrect working) Answer: 62.3 | A1 |
| (4) | |
| (4 marks) |
Notes
M1: for finding income for the 22 dirhams notebooks or the 19 dirhams notebooks
OR for finding the profit for the 22 dirhams notebooks or the 19 dirhams notebooks
M1: for finding income for the 22 dirhams notebooks and the 19 dirhams notebooks
OR for finding the profit for the 22 dirhams notebooks and the 19 dirhams notebooks,
1266 or 486 implies M2
M1: for a complete method to find percentage profit
A1: awrt 62.3, allow 62 from correct working