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ACT Rates and percentages Practice Questions
Rates and percentages questions show up frequently in the Math section of the ACT. Below are practice questions taken from our bank to help you prepare.
Starter questions
The town of Millfield allocates 32 percent of its annual budget to public safety. If the total annual budget is $1,250,000, how much is allocated to public safety?
A clothing store marks down the original price of a shirt by 25% for a sale. The ratio of the sale price to the original price is 3:4. If the shirt's original price was $48, what is its sale price?
More questions
A factory increased its production output by 25% and then decreased the new output by 25%. The final output is what percent of the original output?
A construction project includes a circular fountain with an initial radius of 10 meters. The radius is increased by 20%, and the area of the fountain is recalculated. By what percent does the area of the fountain increase?
A factory increased production of widgets by 40% and then decreased production by 25% of the new amount. The final production level is what percent of the original production level?
A clothing manufacturer increased the wholesale price of a jacket by 40% and then offered retailers a 30% discount off the increased price. The final price is what percent of the original wholesale price?
Hard questions
A hotel has different room rates on weekdays and weekends. The weekday rate is 40% less than the weekend rate. On average, 70% of occupied rooms are booked at the weekday rate and 30% at the weekend rate. If the hotel's overall average room revenue per occupied room is $107, what is the weekend rate?
A hotel has two types of rooms: standard and deluxe. There are 40 standard rooms, each with an occupancy rate of 50%, and 10 deluxe rooms, each with an occupancy rate of 90%. Due to maintenance, exactly 25% of the standard rooms and 20% of the deluxe rooms are unavailable for booking at any given time. What is the overall occupancy rate for the available rooms in the hotel?
A hotel has two types of rooms: standard and deluxe. There are 40 standard rooms, each with an occupancy rate of 50%, and 10 deluxe rooms, each with an occupancy rate of 90%. Due to maintenance, exactly 25% of the standard rooms and 20% of the deluxe rooms are unavailable for booking at any given time. What is the overall occupancy rate for the available rooms in the hotel?
A hotel has two types of rooms: standard and deluxe. There are 40 standard rooms, each with an occupancy rate of 50%, and 10 deluxe rooms, each with an occupancy rate of 90%. Due to maintenance, exactly 25% of the standard rooms and 20% of the deluxe rooms are unavailable for booking at any given time. What is the overall occupancy rate for the available rooms in the hotel?
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