Two Step Percentage ProblemsWord problems with a vengence.

Finding the Whole

Increase or decrease• Find the whole given part and % increase or

decrease.

• Used in tax, wholesale/ retail, discounts, sales, commission, …

If an item is 30% off---

• What percent do you pay?

• 100% - 30% = 70%

• Whole minus part is what is left

If an item is 30% off---

• Jack bought a jacket for $45. This was 30% off the original price. What was the original price?

• Answer 70% of what is 45?

Increase or Decrease

• The furniture store marked the table up 75%. It sells for $450. What was the wholesale price?

• 100% + 75% = 175%

• Answer 450 is 175 % of what?

Thing to think about

• Is the original asked for?

• Is the new more or less than the original?

• Should the % be more or less than 100?

Finding the part

Increase or Decrease

• Janet will will pay a 15% shipping fee on a $45 item. How much will she pay altogether?

• Two ways. – Find 15% and add

– Find 115%

Increase or Decrease

• Tony gets a 15% discount on a $45 item. How much will she pay altogether?

• Two ways. – Find 15% and subtract

– Find 100%-15%=85%

Finding the Percent

Increase or Decrease

• Raulph marked an item up for sale from $135 retail to $236.25. What was the percent markup?

• Two ways. – Find what percent of 135 is

236.25. The find the change from 100%.

– Subtract 236.25-135=101.25 Find what percent of 135 is 101.25.

Increase or Decrease

• Raulph bought a $135 item for $95. What was the percent savings?

• Two ways. – Find what percent of 135 is 95.

The find the change for 100%.– Subtract 135-95=40 Find what

percent of 135 is 40.

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