Paper clips are sold in boxes of 1000. Each box costs £15.40. The table below shows the discount offered for large orders.
| Total order | Discount |
| :---------- | :------- |
| £40-£54.99 | 5% |
| £55-£79.99 | 6.5% |
| £80 and above | 8% |
Ethan orders 5 boxes of paper clips. Work out the amount of discount Ethan gets.
Answer (1)
Calculate the total cost of the paper clips: 5 \t × £15.40 = £77.00 .
Determine the discount percentage based on the total cost: 6.5% since £55 \t ≤ £77.00 < £80 .
Calculate the discount amount: £77.00 \t × 0.065 = £5.005 .
Round the discount amount to two decimal places: £5.01 .
Explanation
Calculate the Total Cost First, we need to calculate the total cost of the 5 boxes of paper clips. Each box costs $£15.40, so the total cost is found by multiplying the cost per box by the number of boxes:
Total Cost Calculation T o t a lC os t = 5 × £15.40 = £77.00
Determine the Discount Percentage Next, we need to determine the discount Ethan gets based on the total cost. According to the table, if the total order is between $£55 and $£79.99, the discount is 6.5%. Since $£77 falls within this range, Ethan gets a 6.5% discount.
Calculate the Discount Amount Now, we calculate the amount of the discount by multiplying the total cost by the discount percentage:
Discount Amount Formula D i sco u n t A m o u n t = T o t a lC os t × D i sco u n tP erce n t a g e
Discount Amount Calculation D i sco u n t A m o u n t = £77.00 × 0.065 = £5.005
Final Answer Therefore, the amount of discount Ethan gets is $£5.005. Since we are dealing with money, we should round this to two decimal places, which gives us $£5.01.
State the Final Answer The amount of discount Ethan gets is $£5.01.
Examples
Imagine you're buying school supplies in bulk. Knowing how discounts work can help you save money. For example, if you buy several packs of pens and the total cost qualifies for a discount, you can calculate exactly how much money you'll save. This is similar to Ethan buying paper clips, where understanding the discount helps him reduce the overall cost.
