Final answer:
The net price of RMCF's purchase of dark chocolate with a 10/5 chain discount is $469.39, after calculating 10% and 5% discounts consecutively on a gross price of $549.00.
Step-by-step explanation:
The subject of this question is Mathematics, specifically focusing on discount calculation in a business context, which is typically covered at the high school level. Rocky Mountain Chocolate Factory (RMCF) wants to calculate the net price for 30.0 kilograms of premium dark chocolate at $18.30 per kilo with a 10/5 chain discount.
To determine this, we first calculate the gross price of the chocolate by multiplying the number of kilograms by the price per kilo: 30.0 kg × $18.30/kg = $549.00. Next, we apply the chain discount. A 10% discount reduces the price by 10%, and a subsequent 5% discount applies to the reduced price.
The first discount of 10% is $549.00 × 10% = $54.90. Subtracting this from the gross price gives us a sub-total of $549.00 - $54.90 = $494.10. Then, we apply the second discount of 5% to this sub-total: $494.10 × 5% = $24.71. The net price is thus $494.10 - $24.71 = $469.39.