Foundation November 2018 Paper 1 Q22
22 A bonus of £2100 is shared by 10 people who work for a company.
40% of the bonus is shared equally between 3 managers.
The rest of the bonus is shared equally between 7 salesmen.
One of the salesmen says,
“If the bonus is shared equally between all 10 people I will get 25% more money.”
Is the salesman correct?
You must show how you get your answer. (5)
| Answer | Mark | Mark scheme |
|---|---|---|
| No (supported) | P1 | for start to process, eg \(2100 \times \dfrac{40}{100}\ (= 840)\) or \(100 - 40\ (= 60)\) |
| P1 | for process to find the 7 salesmen’s share of bonus, eg \(2100 - \text{``}840\text{''}\ (= 1260)\) or \(2100 \times \dfrac{\text{``}60\text{''}}{100}\ (= 1260)\) | |
| P1 | for process to find bonus amount each salesman gets eg \(\text{``}1260\text{''} \div 7\ (= 180)\) OR process to find the total bonus for all salesmen if shared equally, eg \(\dfrac{2100}{10} \times 7\ (= 1470)\) | |
| P1 | for process to compare what a single salesman gets under each scheme, eg \(\text{``}180\text{''} \times \dfrac{25}{100}\ (= 45)\) and \(\text{``}\dfrac{2100}{10}\text{''} - \text{``}180\text{''}\ (= 30)\) or \(\text{``}180\text{''} \times \dfrac{25}{100}\ (= 45)\) and \(\text{``}180\text{''} + \text{``}45\text{''}\ (= 225)\) oe and \(\dfrac{2100}{10}\ (= 210)\) or \(\left(\dfrac{2100}{10} - \text{``}180\text{''}\right) \div \text{``}180\text{''} \times 100\ (= 16.6...)\) OR process to compare what all salesmen gets under each scheme, eg \(\text{``}1260\text{''} \times \dfrac{25}{100}\ (= 315)\) and \(\text{``}1470\text{''} - \text{``}1260\text{''}\ (= 210)\) or \(\text{``}1260\text{''} \times \dfrac{25}{100}\ (= 315)\) and \(\text{``}1260\text{''} + \text{``}315\text{''}\ (= 1575)\) oe and “1470” or \((\text{``}1470\text{''} - \text{``}1260\text{''}) \div \text{``}1260\text{''} \times 100\ (= 16.6...)\) | |
| A1 | ‘No’ supported by correct figures, eg 45 and 30, 225 and 210, 315 and 210 or 1575 and 1470 or 16.(6...)(% and 25%) |
Additional guidance
May compare bonus shares of a single salesman or total bonus share for all 7 salesmen.
Do not award unless correct figures have been shown to support a statement made that the salesman was not correct.