Taking a discount of 50% off followed by a discount of 50% off results in a total discount of
a. 25%
b. 50%
c. 75%
d. 100%
Please select the best answer from the choices provided
Ο Α
B
C
OD
b. 50%
Taking a discount of 50% off followed by another discount of 50% off is equivalent to multiplying the original price by 0.5 and then multiplying the discounted price by 0.5 again.
Let's say the original price is $100.
First, you take a 50% discount, which means you pay 50% of the original price. So, you pay 0.5 * $100 = $50.
Then, you take another 50% discount on the discounted price of $50. This means you pay 50% of the discounted price. So, you pay 0.5 * $50 = $25.
In total, you pay $25, which is 25% of the original price ($25/$100 * 100%).
Therefore, the correct answer is a. 25%.
To find the total discount after applying two consecutive discounts of 50% each, we can use the concept of successive percentage changes.
Let's say the original price of an item is $100.
For the first discount of 50%, we can calculate the discounted price as:
Discounted Price = Original Price - (Discount Percentage * Original Price)
= $100 - (50% * $100)
= $100 - $50
= $50
Now, for the second discount of 50% on the already discounted price, we can calculate the final discounted price as:
Discounted Price = Previous Discounted Price - (Discount Percentage * Previous Discounted Price)
= $50 - (50% * $50)
= $50 - $25
= $25
Therefore, the final discounted price is $25, which is a 75% discount from the original price of $100.
Hence, the correct answer is c. 75%.