3.1-3.3 Flashcard Review

Front

What is the formula to calculate a percentage increase?

Back

To calculate a percentage increase, use the formula: (New Value - Original Value) / Original Value x 100%.

Front

If a store sells an item for $90, which is 160% of the cost price, how do you find the cost price?

Back

To find the cost price, divide the selling price by the percentage in decimal form: Cost Price = Selling Price / (Percentage / 100). In this case, Cost Price = 90 / 1.6 = $56.25.

Front

How do you calculate 30% of a number?

Back

To calculate 30% of a number, multiply the number by 0.30. For example, 30% of 200 is 200 x 0.30 = 60.

Front

What does it mean to find 115% of a number?

Back

Finding 115% of a number means you are calculating the original number plus an additional 15% of that number. For example, 115% of 75 is 75 x 1.15 = 86.25.

Front

How do you find the number of students in a group if you know the percentage?

Back

To find the number of students in a group based on a percentage, multiply the total number of students by the percentage in decimal form. For example, 25% of 40 students is 40 x 0.25 = 10.

Front

What is the meaning of 'percentage'?

Back

Percentage is a way of expressing a number as a fraction of 100. It is often used to compare proportions.

Front

How do you convert a percentage to a decimal?

Back

To convert a percentage to a decimal, divide the percentage by 100. For example, 25% as a decimal is 0.25.

Front

What is the relationship between percentages and fractions?

Back

Percentages can be expressed as fractions by placing the percentage over 100. For example, 50% is equivalent to 50/100 or 1/2.

Front

What is a 'percentage decrease'?

Back

A percentage decrease measures how much a value has decreased relative to its original value, calculated as: (Original Value - New Value) / Original Value x 100%.

Front

How do you find the total after a percentage increase?

Back

To find the total after a percentage increase, multiply the original amount by (1 + percentage increase in decimal form). For example, for a 20% increase on $100: Total = 100 x 1.20 = $120.