Percentage Change
Percentage change is a useful concept that shows how much a value has increased or decreased compared to its original amount. It is commonly used in real-life situations such as tracking price changes, exam score improvements, or population growth. Understanding percentage change helps students interpret data clearly and make meaningful comparisons in everyday situations.
Related Lessons:
Percentage Change Formula
To calculator percentage change, subtract the original value from the new value, divide by the original value, and multiply by 100%. A positive answer means an increase, while a negative answer means a decrease.
\(\%\ change\ =\frac{final\ value\ -original\ value}{original\ value}\times100\%\)
Percentage Change Example 1
A trader bought some goods for $250. He later sold them at $150. Calculate his percentage loss.
Percentage Change Example 2
A jacket costs $300. During a sale, a discount was given for making cash payment only. Ken used cash and paid $240 for the jacket. Calculate the percentage discount he was given.
Percentage Change Example 3
Elva bought a new car for $125,300. Calculate
- the decrease in value if it is worth 18% less than its original value after one year
- its percentage decrease from its original value if the car is worth only $92,722 on its second year.
Percentage Change Example 4
A store sold 30 shirts for $960 in the month of January. In May 20 shirts were sold at $24 each. Calculate the percentage decrease in the price for each shirt.