Percentage Calculations and Scale Factors

The video tutorial explains how percentages are fractions of 100 and demonstrates calculations involving price increases, reductions, and value-added tax (VAT) on a car. It also covers depreciation calculations over two years using scale factors, emphasizing the importance of understanding percentage changes in different contexts.

What is the basic concept of percentages as discussed in the video?

• Percentages are fractions based on thousands.

• Percentages are fractions based on units.

• Percentages are fractions based on hundreds.

• Percentages are fractions based on tens.

If a car's price is increased by 3%, how much more will a 15,000 pound car cost?

• 300 pounds

• 450 pounds

• 500 pounds

• 600 pounds

How do you calculate a percentage increase?

• Divide the original amount by the percentage.

• Subtract the percentage from the original amount.

• Add the percentage to the original amount.

• Multiply the original amount by the percentage as a decimal.

What is the scale factor for a 3% increase?

• 1.03

• 1.3

• 0.97

• 0.93

What is the new price of a 15,000 pound car after a 10% reduction?

• 13,000 pounds

• 14,000 pounds

• 12,500 pounds

• 13,500 pounds

How do you calculate a percentage decrease?

• Subtract the percentage from the original amount.

• Add the percentage to the original amount.

• Divide the original amount by the percentage.

• Multiply the original amount by the percentage as a decimal and subtract from the original.

What is the scale factor for a 10% reduction?

• 0.9

• 0.6

• 0.8

• 0.7

How do you calculate the new price of an item after adding a 17.5% value-added tax?

• Multiply the original price by 1.175

• Multiply the original price by 1.75

• Multiply the original price by 0.175

• Multiply the original price by 1.5

How do you find the new price after a percentage increase?

• Subtract the percentage from the original price.

• Divide the original price by the scale factor.

• Add the percentage to the original price.

• Multiply the original price by the scale factor.

What is the effect of a 17.5% value-added tax on the price?

• It has no effect on the price.

• It decreases the price by 17.5%.

• It doubles the price.

• It increases the price by 17.5%.