Final answer:
The single equivalent discount for two successive discounts of 15% and 20% is calculated to be 32%, meaning the final price is 68% of the original price.
Step-by-step explanation:
The question is asking to calculate the single equivalent discount for two successive discounts of 15% and 20%.
To solve this, we first consider the initial price of an item to be 100%.
First, we apply the 15% discount:
100% - 15%
= 85% of the original price remains.
Now we apply the 20% discount on the remaining price:
85% - (20% of 85%)
= 85% - 17%
= 68% of the original price remains.
Therefore, the single equivalent discount is:
100% - 68%
= 32%.
The single equivalent discount when applying two successive discounts of 15% and 20% is thus 32%.