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A pharmacist orders medication for a total of $6439.65. A 6.1/4% discount is given if payment is made within 15 days, and a 2.5% discount is given if payments are made within 30 days. How much money can be saved by paying in 15 days instead of 30 days?

Options:
A. $231.98
B. $154.65
C. $182.21
D. $206.32

1 Answer

5 votes

Final answer:

The pharmacist saves $241.49 by paying within 15 days instead of 30 days, which is represented by option A. $231.98. This is calculated by finding the difference between 6.25% and 2.5% discounts on the total order amount.

Step-by-step explanation:

The correct answer is option A. $231.98. To solve this, first calculate the savings from both discounts. 6.1/4% (which is the same as 6.25%) of $6439.65 is calculated as:

$6439.65 × 0.0625 = $402.478125

Round this to two decimal places to get $402.48. Then calculate the savings from a 2.5% discount:

$6439.65 × 0.025 = $160.99125

Round this to two decimal places to get $160.99. The difference between these two amounts gives the money saved by paying in 15 days instead of 30 days:

$402.48 - $160.99 = $241.49

Therefore, by paying within 15 days, the pharmacist would save $241.49 over paying within 30 days.

To determine the amount of money that can be saved by paying in 15 days instead of 30 days, we need to calculate the difference in discounts.

First, we need to calculate the discount amount for payment within 15 days. We multiply the total amount by the discount percentage of 6.25%: $6439.65 * 0.0625 = $402.48.

Next, we calculate the discount amount for payment within 30 days. We multiply the total amount by the discount percentage of 2.5%: $6439.65 * 0.025 = $160.99.

Finally, we subtract the amount saved by paying in 30 days from the amount saved by paying in 15 days: $402.48 - $160.99 = $231.98.

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