A department store offered a 20% discount on all tv sets valued at $800, They also stated that the first 50 customers would receive an additional 5% discount. Find the total percent discount.
The first discount is 20%, which means the customer will pay 80% of the original price. Thus, the new price of the TV set would be:
80% of $800 = 0.8 x 800 = $640
Now, for the first 50 customers, they would receive an additional 5% discount. So, they would get a total percent discount of:
20% + 5% = 25%
For these 50 customers, the new price they would pay for the TV set would be:
75% of $800 = 0.75 x 800 = $600
For the remaining customers (after the first 50), they would only receive the initial 20% discount. So, the total percent discount for them would be:
20%
Therefore, the total percent discount offered by the department store is a combination of these two discounts, and can be calculated as follows:
(Total discount for first 50 customers x Number of first 50 customers) + (Total discount for remaining customers x Number of remaining customers) / Total number of customers
[(25% x 50) + (20% x 50)] / 100
[12.5 + 10] / 100
22.5 / 100
0.225 or 22.5%
So the total percent discount offered by the department store is 22.5%.
To find the total percent discount, we need to calculate the discount offered by the department store.
Step 1: Calculate the discount for the 20% off deal.
Discount = 20% of $800
Discount = 0.2 * $800
Discount = $160
Step 2: Calculate the discount for the additional 5% off for the first 50 customers.
Discount = 5% of $800
Discount = 0.05 * $800
Discount = $40
Step 3: Calculate the total discount.
Total Discount = Discount from 20% off + Discount from additional 5% off
Total Discount = $160 + $40
Total Discount = $200
Step 4: Calculate the total percent discount.
Total Percent Discount = (Total Discount / Original Price) * 100%
Total Percent Discount = ($200 / $800) * 100%
Total Percent Discount = 25%
Therefore, the total percent discount offered by the department store is 25%.