Higher June 2025 Paper 3 Q3
3 Mia pays £25 for 200 oranges.
Mia puts the oranges into bags.
She puts 5 oranges into each bag.
Mia sells all the bags of oranges for £1 each bag.
Work out Mia’s percentage profit. (3)
| Answer | Mark | Mark scheme |
|---|---|---|
| 60 | P1 | for process to find SP of 200 oranges or number of bags, eg \(200 \div 5\ (= 40)\) oe or for process to find the overall profit, eg \(200 \div 5 - 25\ (= 15)\) oe or for process to find CP of 1 orange, eg \(25 \div 200\ (= 0.125)\) oe or SP of 1 orange, eg \(1 \div 5\ (= 0.2)\) oe or for process to find CP of 5 oranges, eg \(25 \div (200 \div 5)\ (= 0.625)\) oe or for process to find number of oranges bought per £, eg \(200 \div 25\ (= 8)\) |
| P1 | (dep) for start to a process to find percentage profit, eg \(\dfrac{\text{``}40\text{''} - 25}{25}\ (= 0.6)\) oe or \(\dfrac{\text{``}15\text{''}}{25}\ (= 0.6)\) oe or \(\dfrac{\text{``}40\text{''}}{25} \times 100\ (= 160)\) oe or \(\dfrac{\text{``}0.2\text{''} - \text{``}0.125\text{''}}{\text{``}0.125\text{''}}\ (= 0.6)\) oe or \(\dfrac{1}{\text{``}0.625\text{''}} \times 100\ (= 160)\) oe or \(\dfrac{1 - \text{``}0.625\text{''}}{\text{``}0.625\text{''}}\ (= 0.6)\) oe or \(\dfrac{\text{``}8\text{''} - 5}{5}\ (= 0.6)\) oe or \(\dfrac{\text{``}8\text{''}}{5} \times 100\ (= 160)\) oe or \(\dfrac{\text{``}8\text{''} \times \text{``}15\text{''}}{200}\ (= 0.6)\) oe | |
| A1 | cao |
Additional guidance
Working can be in either pounds or pence
SP = Selling Price
CP = Cost Price
1.6 implies P1