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A secretary needs to order 8 boxes of paper clips. Each box costs [tex]\$ 7.67[/tex].

The table below shows the discount offered on large orders.

\begin{tabular}{|l|l|}
\hline Total Order & Discount \\
\hline \$40-\[tex]$54.99 & 5\% \\
\hline \$[/tex]55-\[tex]$79.99 & 6.5\% \\
\hline \$[/tex]80 or more & 8\% \\
\hline
\end{tabular}

What amount will the secretary have to pay?


Sagot :

Let's solve this step by step:

1. Calculate the total cost without discount:
The secretary needs to order 8 boxes of paper clips. Each box costs [tex]$£ 7.67$[/tex].
[tex]\[ \text{Total cost} = 8 \times 7.67 = £ 61.36 \][/tex]

2. Determine the discount rate:
According to the table:
- If the total order is between £40 and £54.99, the discount is 5%.
- If the total order is between £55 and £79.99, the discount is 6.5%.
- If the total order is £80 or more, the discount is 8%.

Since the total cost of £61.36 falls between £55 and £79.99, the discount rate is 6.5%.

3. Calculate the discount amount:
[tex]\[ \text{Discount amount} = 61.36 \times 0.065 = £ 3.9884 \][/tex]

4. Calculate the final amount to pay:
Subtract the discount amount from the total cost:
[tex]\[ \text{Amount to pay} = 61.36 - 3.9884 = £ 57.3716 \][/tex]

Therefore, the final amount the secretary will have to pay is £57.3716.