Raya buys a van for £8500 plus VAT at 20% Raya pays a deposit for the van - Edexcel - GCSE Maths - Question 5 - 2018 - Paper 2

Next, calculate the total amount paid in 12 equal monthly payments:

$$\text{Total Payments} = 12 \times 531.25 = 6375$$

Let the deposit be denoted as D. We know that the total cost is £10200 and the effective payment made is £6375:

$$D = 10200 - 6375 = 3825$$

Thus, we need to find the ratio of the deposit to the total payments:

$$\text{Ratio} = \frac{D}{\text{Total Payments}} = \frac{3825}{6375}$$

Now we simplify the ratio:

Both 3825 and 6375 can be divided by 6375:

1. Divide both by 3825:

$$\frac{3825 \div 3825}{6375 \div 3825} = \frac{1}{1.66667} \\ ext{Approximately } \frac{1}{1.66667} = \frac{3}{5}$$

Hence, the simplest form of the ratio of the deposit to the total of the 12 equal payments is:

$\frac{3}{5}$.