Question
If a brand of batteries is sold normally at $19.95 each by a manufacture to its outlets and a retail chain agrees to buy 20,000 batteries at a price of $15.75 each, how much of a discount is the manufacturer offering if he accepts the chain store's price?
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Answered by
GPT-4o mini
To calculate the discount the manufacturer is offering, you can follow these steps:
1. **Normal Price per Battery**: $19.95
2. **Discounted Price per Battery**: $15.75
3. **Calculate the discount amount per battery**:
\[
\text{Discount per battery} = \text{Normal Price} - \text{Discounted Price} = 19.95 - 15.75 = 4.20
\]
4. **Calculate the total discount for the order of 20,000 batteries**:
\[
\text{Total Discount} = \text{Discount per battery} \times \text{Number of batteries} = 4.20 \times 20000 = 84000
\]
So, the manufacturer is offering a discount of **$4.20 per battery**, and for the total order of 20,000 batteries, the total discount amounts to **$84,000**.
1. **Normal Price per Battery**: $19.95
2. **Discounted Price per Battery**: $15.75
3. **Calculate the discount amount per battery**:
\[
\text{Discount per battery} = \text{Normal Price} - \text{Discounted Price} = 19.95 - 15.75 = 4.20
\]
4. **Calculate the total discount for the order of 20,000 batteries**:
\[
\text{Total Discount} = \text{Discount per battery} \times \text{Number of batteries} = 4.20 \times 20000 = 84000
\]
So, the manufacturer is offering a discount of **$4.20 per battery**, and for the total order of 20,000 batteries, the total discount amounts to **$84,000**.
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