A bonus of £2100 is shared by 10 people who work for a company - Edexcel - GCSE Maths - Question 7 - 2018 - Paper 1
Question 7
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 betwee... show full transcript
Worked Solution & Example Answer:A bonus of £2100 is shared by 10 people who work for a company - Edexcel - GCSE Maths - Question 7 - 2018 - Paper 1
Step 1
Calculate the total amount for the managers
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Answer
To find the total amount shared with the managers, calculate 40% of £2100:
40%×2100=0.4×2100=840
Thus, the managers share a total of £840.
Step 2
Calculate the remaining bonus for the salesmen
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Answer
The remaining bonus after paying the managers is:
2100−840=1260
This amount is then shared equally among 7 salesmen.
Step 3
Determine the bonus for each salesman
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Answer
Each salesman receives:
71260=180
So each salesman receives £180.
Step 4
Calculate the bonus if shared equally among all 10 people
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Answer
If the total bonus of £2100 is shared equally among all 10 individuals:
102100=210
Each person would receive £210.
Step 5
Determine if the salesman is correct
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Answer
To see if he is correct, compare the two amounts:
Current amount for each salesman: £180
Amount if shared among all: £210
Calculating the difference:
210−180=30
Now calculate the percentage increase:
(18030)×100%=16.67%
The salesman claimed to receive 25% more, while the actual increase is approximately 16.67%. Hence, the salesman is not correct.
