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.

Answer 1

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%.