Foundation June 2019 Paper 2 Q16
16 Josh buys and sells books for a living.
He buys 120 books for £4 each.
He sells \(\dfrac{1}{2}\) of the books for £5 each.
He sells 40% of the books for £7 each.
He sells the rest of the books for £8 each.
One book that Josh owns had a value of £15 on the 1st May 2019
The value of this book had increased by 20% in the last year.
| Scheme | Marks |
|---|---|
| 4 × 120 (= 480) | M1 |
| e.g. 120 ÷ 2 × 5 (= 300) or 120 × 0.4 × 7 (= 336) or (120 – “60” – “48”) × 8 (= 96) or 120 × 0.1 × 8 (= 96) | M1 |
| e.g. (120 ÷ 2 × 5) + (120 × 0.4 × 7) + ((120 – “60” – “48”) × 8) (= 732) or (120 ÷ 2 × 5) + (120 × 0.4 × 7) + (120 × 0.1 × 8) (= 732) or “300” + “336” + “96” (= 732) | M1 |
e.g. \(\dfrac{\text{``}{732}\text{''} - \text{``}{480}\text{''}}{\text{``}{480}\text{''}} \times 100\) or “252” ÷ “480” × 100 or \(\left(\dfrac{\text{``}{732}\text{''}}{\text{``}{480}\text{''}} \times 100\right) - 100\) or 152.5 – 100 or \(\left(\dfrac{\text{``}{732}\text{''}}{\text{``}{480}\text{''}} - 1\right) \times 100\) or 0.525 × 100 | M1 |
| 52.5 | A1 |
| (5) |
Notes
M1: for a method to find the income for one of the selling prices
M1: for a complete method to find the total income
M1: for a complete method to find the percentage profit
A1: accept 53
Alternative scheme
| Scheme | Marks |
|---|---|
| 4 × 120 (= 480) | M1 |
| e.g. 120 ÷ 2 × 1 (= 60) or 120 × 0.4 × 3 (= 144) or (120 – “60” – “48”) × 4 (= 48) or 120 × 0.1 × 4 (= 48) | M1 |
| e.g. (120 ÷ 2 × 1) + (120 × 0.4 × 3) + ((120 – “60” – “48”) × 4) (= 252) or (120 ÷ 2 × 1) + (120 × 0.4 × 3) + (120 × 0.1 × 4) (= 252) or “60” + “144” + “48” (= 252) | M1 |
| “252” ÷ “480” × 100 oe | M1 |
| 52.5 | A1 |
Notes
M1: for a method to find the profit of one of the books
M1: for a complete method to find the total profit
M1: for a complete method to find the percentage profit
A1: accept 53
| Scheme | Marks |
|---|---|
e.g. 1 + 0.2 (= 1.2) or 100(%) + 20(%) (= 120(%)) or \(\dfrac{15}{120}\) (= 0.125) oe | M1 |
| e.g. 15 ÷ 1.2 or 15 ÷ 120 × 100 or 15 × 100 ÷ 120 | M1 |
| 12.5(0) | A1 |
| (3) | |
| (8 marks) |
Notes
M1: dep
A1: accept (£)12.5, (£)12.50p, 1250p if the £ sign is crossed out