The price of a scooter increases successively by 10%, 5%, and 15%. What is the total percentage increase in the price of scooters?
Show answer & explanation
Correct answer: A
Explanation
The correct answer is option 1 i.e 32.825%
To find the total percentage increase in the price of scooters, we need to use the concept of successive percentage increases.
Let's assume that the original price of the scooter is 100 dollars.
After the first increase of 10%, the new price becomes:
100 + 10% of 100 = 100 + 10 = 110 dollars.
After the second increase of 5%, the new price becomes:
110 + 5% of 110 = 110 + 5.5 = 115.5 dollars.
After the third increase of 15%, the new price becomes:
115.5 + 15% of 115.5 = 115.5 + 17.325 = 132.825 dollars.
Therefore, the total increase in the price of the scooter is:
132.825 - 100 = 32.825 dollars.
To find the total percentage increase, we need to express this increase as a percentage of the original price:
32.825 / 100 = 0.32825
0.32825 × 100% = 32.825%
So the total percentage increase in the price of scooters is approximately 32.825%.