Answer: the additional discount amount is $61.56 and the additional discount rate is approximately 41%.
Step-by-step explanation: The following text has been given for academic rewriting. Provided:
The identified monetary value assigned to a particular item or service, commonly referred to as the list price, is reported to be $152.
Discount 1 involves a reduction of thirty percent.
The second discount availed equals a fifteen percent reduction in price.
The objective of this study is to determine.
The currency amount specified in the document indicating the seller's listed cost for goods or services rendered is referred to as the present invoice price.
The supplementary reduction in price value and percentage.
The proposed resolution to the given problem is as follows:
Initially, we shall ascertain the cost subsequent to the initial reduction:
The equation to determine the price after a discount is expressed as Price after Discount 1 = List price - Discount 1 multiplied by the List price.
The modified pricing display, following the application of a discount, can be computed using the formula: Price after Discount 1 = $152 - 0.3 x $152.
The price subsequent to the application of a discount, denoted as discount type 1, may be expressed as the difference between the initial price of $152 and the discount amount of $45.6.
The residual cost subsequent to the implementation of a discount of 1 amounts to $106.4 in this instance.
Subsequently, the subsequent step involves determining the price subsequent to the application of the second discount.
The mathematical formula for calculating the price after the second discount, denoted as "Price after Discount 2," is derived by deducting the product of the discount amount represented by "Discount 2" and the initial price after the first discount, "Price after Discount 1," from the latter. This can be represented as: Price after Discount 2 = Price after Discount 1 - (Discount 2 x Price after Discount 1)
The post-discount price can be expressed as $106.4 minus 15% of $106.4.
The discounted price, denoted as Price after Discount 2, may be represented as the difference between $106.4 and $15.96, yielding a value of $90.44.
The cost subsequent to deduction 2 is equivalent to $90.44.
Consequently, the extant amount on the invoice stands at $90.44.
To determine the supplementary discount value, it is possible to deduct the cost subsequent to Discount 2 from the catalogue price.
The formula utilized to determine the additional discount amount involves the calculation of the difference between the list price and the price following Discount 2.
The reduction in price can be computed as the difference between the initial amount and the discounted amount, where the former is represented by $152 and the latter is computed to be $90.44. Therefore, the additional discount amount is equivalent to $61.56.
The supplementary reduction amount has been tabulated at $61.56.
Ultimately, the supplementary reduction rate may be derived as a proportion of the published cost:
The formula for calculating the additional discount rate is expressed as the ratio between the additional discount amount and the list price multiplied by 100%.
The supplementary discount rate can be calculated by taking the quotient of $61.56 and $152, and then multiplying the result by 100%.
The discount rate is estimated to be approximately 41% higher than the original cost in academic writing.