Incorrect Percentages
Incorrect Percentages
Name: _________________________________________
Must show calculations/formula for credit. Any answer given with no calculations shown will result in no credit for that answer.
1. A newspaper headline claims: “Apple spends far less on Research & Development than any of its rivals.” Further into the story, the reporter writes that Apple spends a paltry 2% of revenues compared with 14% at Google and Microsoft.
a. What is the mistaken assumption here?
b. Why is that assumption incorrect?
c. Is there a situation where the headline is still correct?
2. A shop owner raises the price of a $150 pair of shoes by 40%. After a few weeks, because of falling sales, the owner reduces the price of the shoes by 40%. A customer then says that the shoes are back at the original price.
a. What is the mistaken assumption here?
b. Why is that assumption incorrect?
c. What do the shoes actually cost now? show calculation
d. By what percent should the shoes be decreased in order to have the price back at $150? Round to the nearest 10th percentage. (for example if your decimal answer is .058267 your answer would be 5.8267% round to nearest 10th percent answer is 5.8%) show calculation
3. The annual number of burglaries in a town rose by 50% in 2012 and fell by 10% in 2013. Hence the total number of burglaries increased by 40% over the two year period.
a. What is the mistaken assumption here?
b. Why is that assumption incorrect?
c. By what percent has the number of burglaries actually changed in the two-year period? show calculation
d. By what percent would the crime have to decrease in the second year in
order for the change over the two-year period to actually be a 40% increase? Round to nearest 10th percent (ex-decimal .05873 is 5.873% to one decimal is 5.9%) show calculation
4. A store is currently offering a 60% discount on all items purchased. Your cashier is trying to convince you to open a store credit card and says to you, “In addition to the 60% discount you are receiving for purchasing these items on sale today, you will get an additional 20% off for opening a credit card account. That means you are getting 80% off!”
a. What is the mistaken assumption here?
b. Why is that assumption incorrect?
c. If you did truly have 80% discount, explain what should happen when you go to the counter to buy $500 worth of items? show calculation
d. If you got your 60% discount and opened the card for an additional 20%, what is the actual % discount you would receive? show calculation
e. Is it better to apply the 60% discount first or the 20% discount first? show calculation
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