1MA0 Higher June 2017 Paper 1 Q2
*2 Bill buys and sells laptops.
Last month Bill bought 50 laptops.
He paid £400 for each laptop.
He sold
40 of these laptops at a profit of 30% on each laptop
10 of these laptops at a profit of 15% on each laptop
Bill’s target last month was to sell all 50 laptops for a total of at least £25 000
Did Bill reach this target? (5)
| Answer | Mark | Notes |
|---|---|---|
| Yes (supported) | 5 | M1 for method to calculate profit on one laptop e.g. \(400 \times 0.3\) oe (= 120) or \(400 \times 0.15\) oe (= 60) M1 for method to calculate selling price of one of the two deals e.g. \(400 \times 1.3\) oe (= 520) or \(400 \times 1.15\) oe (= 460) M1 for method to calculate the total selling price of one laptop e.g. \(40 \times 400 \times 1.3\) oe (= 20 800) or \(10 \times 400 \times 1.15\) oe (= 4600) M1 for total income e.g. \(\text{``}20 800\text{''} + \text{``}4600\text{''}\) C1 for Yes and (£)25 400 or Yes with £400 more OR M1 for a method for the profit on one laptop e.g. \(400 \times 0.3\) oe (=120) or \(400 \times 0.15\) oe (= 60) M1 for a method for the total profit for one of the two deals e.g. \(40 \times \text{``}120\text{''}\) (= 4800) or \(10 \times \text{``}60\text{''}\) (= 600) M1 for a method for total profit \(\text{``}4800\text{''} + \text{``}600\text{''}\) (= 5400) M1 for a method for target profit e.g. \(25\,000 - 400 \times 50\) (= 5000) C1 for Yes with (£)5400 and (£)5000 or Yes with £400 more OR M1 for a method for the profit on one laptop e.g. \(400 \times 0.3\) oe (= 120) or \(400 \times 0.15\) oe (= 60) M1 for a method for the total profit for one of the two deals e.g. \(40 \times \text{``}120\text{''}\) oe (= 4800) or \(10 \times \text{``}60\text{''}\) (= 600) M1 for \(50 \times 400 + \text{``}4800\text{''}\) or \(50 \times 400 + \text{``}600\text{''}\) M1 for \(50 \times 400 + \text{``}4800\text{''} + \text{``}600\text{''}\) (= 25400) C1 for Yes and (£)25 400 or Yes with £400 more |