Foundation June 2022 Paper 2 Q19
19 Nimra buys a 3 kg box of sweets for £17.60
She puts the sweets into bags to sell.
Each bag contains 150 g of sweets.
Nimra fills as many bags as possible.
She will sell each bag for the same price.
Nimra wants to make a profit of at least 35%
Assuming she sells all the bags,
what is the lowest price Nimra should charge for each bag? (5)
| Answer | Mark | Mark scheme |
|---|---|---|
| 1.19 | P1 | process to find number of small bags that can be filled, eg \([3\text{kg}] \div 150\ (= 20)\) oe |
| P1 | for starting a process to work with percentage for cost of box, eg \(17.60 \times \dfrac{35}{100}\ (= 6.16)\) or \(100 + 35\ (= 135)\) | |
| P1 | for full process to work with percentage increase, eg \(17.60 \times \dfrac{\text{``}135\text{''}}{100}\ (= 23.76)\) | |
| P1 | full process to find selling price for small bag, eg \(\text{``}23.76\text{''} \div \text{``}20\text{''}\ (= 1.188)\) | |
| A1 | cao |
Alternative
| Answer | Mark | Mark scheme |
|---|---|---|
| P1 | process to find number of small bags that can be filled, eg \([3\text{kg}] \div 150\ (= 20)\) oe | |
| P1 | works with starting cost per small bag, \(17.60 \div \text{``}20\text{''}\) | |
| P1 | begins process to work with percentage for a small bag, eg \(\text{``}0.88\text{''} \times \dfrac{35}{100}\ (= 0.308)\) | |
| P1 | full process to find selling price for small bag, \(\text{``}0.88\text{''} \times \dfrac{135}{100}\ (= 1.188)\) oe | |
| A1 | cao |
Additional guidance
[3kg] must be 3 and zeros only eg 300
Build up methods are allowed to imply process
Cost per small bag given as £0.88 will imply P1P1