The first ten persons who will purchase a refrigerator that originally costs ₱18,999 can avail a discount of 38%. Carlo was lucky to avail the item at its sale price. Find how much... The first ten persons who will purchase a refrigerator that originally costs ₱18,999 can avail a discount of 38%. Carlo was lucky to avail the item at its sale price. Find how much he was able to save through the discount and how much he was able to avail the refrigerator.
Understand the Problem
The question involves solving several problems related to discounts, sale prices, commissions, and sales tax. It aims to find the original prices based on given discounts and other financial metrics.
Answer
The discount is $7,219.62 and the sale price is $11,779.38.
Answer for screen readers
Carlo was able to avail a discount of $7,219.62 and the sale price of the refrigerator was $11,779.38.
Steps to Solve
- Identify the Known Values
From the problem, we know:
- Original Price (O.P.) of refrigerator: $18,999
- Discount Rate (D.R.): 38% or 0.38
- Calculate the Discount Amount
Use the formula for discount: $$ \text{Discount} = \text{Original Price} \times \text{Discount Rate} $$
Substituting the values: $$ \text{Discount} = 18,999 \times 0.38 $$
- Calculate the Sale Price
Now, use the formula for sale price: $$ \text{Sale Price} = \text{Original Price} - \text{Discount} $$
First, find the discount: $$ \text{Discount} = 18,999 \times 0.38 = 7,219.62 $$
Now calculate the sale price: $$ \text{Sale Price} = 18,999 - 7,219.62 $$
- Final Calculation
Calculating the sale price: $$ \text{Sale Price} = 18,999 - 7,219.62 = 11,779.38 $$
Thus, the discount received was $7,219.62, and the sale price was $11,779.38.
Carlo was able to avail a discount of $7,219.62 and the sale price of the refrigerator was $11,779.38.
More Information
This example highlights how discounts affect the sale price of products. Understanding percentages and their applications can help in making informed purchasing decisions. Discounts often seem small, but they can lead to significant savings.
Tips
- Miscalculating the discount by not converting the percentage to decimal form.
- Forgetting to subtract the discount from the original price when calculating the sale price.
