Ace Autos sell cars and pay Sue each month as follows.
• a salary of £1410
• 26% of the total profit the company makes from her sales
• a £390 bonus if she sells at least 16 cars
The table shows information about the cars she sold last year.
Total cost to the
company
£473 500
Total income for
the company
Number of months when she
sold at least 16 cars
£549 000
4
Work out Sue's total pay for the year.

To calculate Sue's total pay for the year, we need to consider all three components of her earnings: her base salary, the commission based on her sales, and the bonus for selling at least 16 cars in certain months.

### Step 1: Base Salary
Sue's base salary is £1410 per month. Since there are 12 months in a year, her base salary for the year is:

\[
\text{Base Salary} = 1410 \times 12 = 16,920
\]

### Step 2: Commission
Sue earns 26% of the total profit the company makes from her sales. The profit is the difference between the total income and the total cost to the company.

\[
\text{Profit} = \text{Total Income} - \text{Total Cost} = 549,000 - 473,500 = 75,500
\]

Sue's commission is 26% of this profit:

\[
\text{Commission} = 0.26 \times 75,500 = 19,630
\]

### Step 3: Bonus
Sue receives a £390 bonus if she sells at least 16 cars in a month. She achieved this in 4 months, so her total bonus for the year is:

\[
\text{Bonus} = 390 \times 4 = 1,560
\]

### Step 4: Total Pay
Now, we can calculate Sue's total pay for the year by adding up her base salary, commission, and bonus:

\[
\text{Total Pay} = 16,920 + 19,630 + 1,560 = 38,110
\]

### Conclusion
Sue's total pay for the year is £38,110.

Would you like more details on any part of the calculation?

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Here are 5 related questions to deepen your understanding:

1. How would Sue's pay change if the total profit for the company increased by 10%?
2. What would Sue's total pay be if she had sold at least 16 cars for 6 months instead of 4?
3. How would her commission change if her percentage was 30% instead of 26%?
4. If Sue's base salary increased by 5%, how much would her total pay for the year be?
5. How would the total profit for the company change if the total income increased by £20,000?

**Tip:** Always break down complex problems into smaller parts to avoid mistakes and make the solution more manageable.

Ace Autos sell cars and pay Sue each month as follows. • a salary of £1410 • 26% of the total profit the company makes from her sales • a £390 bonus if she sells at least 16 cars. The table shows information about the cars she sold last year. Total cost to the company £473,500 Total income for the company £549,000 Number of months when she sold at least 16 cars 4. Work out Sue's total pay for the year.

Learn how to calculate Sue's total pay based on her salary of £1,410 per month, a 26% commission on company profits, and a £390 bonus for meeting sales targets. The problem covers key concepts like profit calculation, percentage commission, and basic arithmetic, suitable for Grades 6-8.

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