- Finding Percents and Percent Equations
- Finding a percentage of a whole number
- Finding a percentage of a whole number without a calculator: Basic
- Finding a percentage of a whole number without a calculator: Advanced
- Applying the percent equation: Problem type 1
- Applying the percent equation: Problem type 2
- Finding a percentage of a total amount: Real-world situations
- Finding a percentage of a total amount without a calculator: Sales tax, commission, discount
- Estimating a tip without a calculator
- Writing a ratio as a percentage without a calculator
- Finding the rate of a tax or commission
- Finding the total amount given the percentage of a partial amount
- Finding a percentage of a total amount in a circle graph
Finding a percentage of a total amount: Real-world situations
In this lesson, we solve problems on finding a percentage of a total amount in real-world situation.
Consider the following solved examples.
A plant was 53 centimeters tall. After a month, it had grown 8% taller. How tall was the plant after a month?
The original height of the plant = 53 cm
percentage increase in height = 8 %
Increase in the height of the plant = 8% of 53 cm = 0.08 × 53 = 4.24 cm
Height of the plant after increase = 53 cm + 4.24 cm = 57.24 cm
A furniture store had a chair that cost $38. After a few months, the owner took 12% off the price. How much is the chair now?
The original price of the chair = $38
percentage discount in price = 12 %
Discount in price of chair = 12% of $38 = 0.12 × $38 = $4.56
Price of the chair after discount = $38 −$ 4.56 = $33.44
A store was selling lawn mowers for $67. The repair agreement is 21 percent of the price of the mower. How much would it cost for a mower and repair agreement?
The price of the lawn mower = $67
Repair agreement percent = 21 %
Repair agreement cost = 21% of $67 = 0.21 × $67 = $14.07
Cost of lawn mower and repair agreement = $67 + $14.07 = $81.07
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