Higher November 2018 Paper 1 Q11
11 Jack and Sadia work for a company that sells boxes of breakfast cereal.
The company wants to have a special offer.
Here is Jack’s idea for the special offer.
| Put 25% more cereal into each box and do not change the price. |
Here is Sadia’s idea.
| Reduce the price and do not change the amount of cereal in each box. |
Sadia wants her idea to give the same value for money as Jack’s idea.
By what percentage does she need to reduce the price? (3)
| Answer | Mark | Mark scheme |
|---|---|---|
| 20 | P1 | for start of process, eg \(\dfrac{125}{100}\) oe or \(\dfrac{100}{125}\) oe or \(\dfrac{25}{125}\) |
| P1 | for a suitable process to develop a percentage, either 80% or 20% eg. \(\dfrac{100}{125} = \dfrac{x}{100}\) or \(\dfrac{125 - 100}{125} = \dfrac{x}{100}\) or \(\dfrac{p}{1.25m} = \dfrac{xp}{m}\) or \(\dfrac{0.25p}{1.25m} = \dfrac{xp}{m}\) | |
| A1 | cao |
Additional guidance
Values of amount of cereal and cost may be used, eg. 100g of cereal costing £10
An acceptable start of a process would then be: 125g of cereal costing £10 using Jack’s idea