A bonus of £2100 is shared by 10 people who work for a company - Edexcel - GCSE Maths - Question 4 - 2018 - Paper 1

The remaining bonus is calculated by subtracting the amount shared with managers from the total bonus:

$2100 - 840 = 1260$

This remaining amount is shared equally among 7 salesmen, so each salesman receives:

$\frac{1260}{7} = 180$

If the total bonus were to be shared equally among all 10 people, each person would receive:

$\frac{2100}{10} = 210$

To check if the salesman is correct, we compare the amounts:

• The current amount for each salesman is £180.
• If the bonus were shared equally among all 10 people, each would get £210.

To find the increase in proportion, we calculate:

$\frac{210 - 180}{180} \times 100\% = \frac{30}{180} \times 100\% = 16.67\%$

Therefore, the salesman is not correct; he would actually receive a 16.67% increase, not 25%.