Higher January 2022 Paper 1 Q4
4 Sarah makes and sells mugs.
One day she makes 150 mugs.
Her total cost for making these mugs is £1140
Of these mugs
| \(\dfrac{2}{5}\) are small mugs | |
| 32% are medium mugs | |
| and | the rest are large mugs |
Here is Sarah’s price list for selling each mug.
| MUGS | |
|---|---|
| Small | £8.50 |
| Medium | £11.20 |
| Large | £14.20 |
Sarah sells all 150 mugs.
Work out her percentage profit.
Give your answer correct to the nearest whole number.
(5)
| Scheme | Marks |
|---|---|
| eg \(\dfrac{2}{5} \times 150\) (= 60) or eg 0.32 × 150 (= 48) | M1 |
| eg 150 – “60” – “48” (= 42) | M1 |
| eg “60” × 8.50 + “48” × 11.20 + “42” × 14.20 (= 1644) or 510 + 537.6 + 596.4 (= 1644) | M1 |
| eg \(\dfrac{\text{``}{1644}\text{''} - 1140}{1140} \times 100\) or \(\dfrac{\text{``}{1644}\text{''}}{1140} \times 100 - 100\) | M1 |
| 44 | A1 |
| (5) | |
| (5 marks) |
Notes
M1: for finding the number of small mugs or number of medium mugs
M1: for finding the number of large mugs
M1: for working out the income,
Profit = 504 implies M3
M1: (indep) for a complete method to find the percentage profit for their total income (must be greater than 1140)
An answer of 144 implies M4
A1: 44 or better (44.2105…)