Percent Puzzles
A backpack originally costs $50. It is marked up by 20% and then discounted by 10%.
What is the final price?
$54
A store buys a water bottle for $16 and marks it up by 25%. The store then offers customers 10% off the marked-up price.
How much does the customer pay before tax?
$18
A $75 pair of shoes is discounted 20%. Then sales tax of 5% is added to the sale price.
$63
A video game originally costs $60. Its price increases by 25%. A week later, the store puts the new price on sale for 20% off.
$60
A jacket is originally priced at $80. It is discounted by 25%. The customer then uses a coupon for an additional 10% off the sale price.
What is the final price, and what is the overall percent discount from the original price?
Final Price is $54
Overall Discount Percent is 32.5%
A store buys a backpack for $40 and marks it up by 35%. The backpack is then put on sale for 10% off.
What is the final selling price?
$48.60
A store buys a game for $30 and wants to make a 40% profit.
It then offers customers a 10% discount from the marked price.
What should the store mark the game at so that it still makes a 40% profit after the discount?
$46.67
A number is increased by 30% and then decreased by 30%. The final result is 91.
What was the original number?
100
A school estimates that 1,200 people will attend an event. Only 1,050 people actually attend.
What is the percent error in the school's estimate?
14.3% error
A student estimates that a jar contains 240 candies. The actual number is 225 candies.
What is the percent error of the estimate?
6.67%
A town's population is 20,000.
The population increases by 15% one year and decreases by 10% the following year.
What is the population after two years, and what is the overall percent change?
Population = 20,700
Percent Change = 3.5% increase
A store buys a bicycle for $400.
The store marks it up by 50%, then puts it on sale for 20% off. The customer also pays 6% sales tax.
Questions:
1. What does the customer pay?
2. What is the overall percent change from the store's original cost to the customer's final payment?
1. $508.80
2. 27.2% increase