Percent Transitional Reasoning Practice
17 Math practice questions on Percent. Questions that build towards applied reasoning.
Choose how questions appear in the preview and test.
Preview the questions below, then start to answer and see your results.
Questions
- 1.
A regional transit authority operates an express commuter train with a standard ticket price of $25 per passenger, serving an average of 800 passengers daily. To encourage more commuters to use rail transit, the authority implements a promotional campaign that reduces the ticket price by 20%. Following the discount, the average number of daily passengers increases by 35%. What is the percentage change in the transit authority's total daily ticket revenue?
- 2.
A community youth organization launches a fundraising campaign with a target goal of 15,000 goal?
- 3.
An agricultural research station tests a smart drip-irrigation system on a commercial orchard that currently requires 24,000 liters of water per day under conventional irrigation. During the first phase of testing, automated soil moisture sensors reduce daily water consumption by 25%. In the second phase, installing pressure-compensating emitters reduces this already decreased water consumption by an additional 15%. How many liters of water does the orchard require per day after both conservation phases are implemented?
- 4.
A municipal recycling facility processes sorted solid waste composed of paper, plastic, and glass. Paper accounts for 45% of the total incoming waste mass, plastic accounts for 35%, and glass accounts for the remaining 20%. The facility successfully recovers 80% of the paper, 60% of the plastic, and 75% of the glass for manufacturing, while all unrecovered materials are sent to a regional landfill. What percentage of the total incoming solid waste mass is successfully recovered for manufacturing?
- 5.
In a municipal referendum, 45,000 citizens were registered to vote, and 60% of these registered voters cast a ballot. To pass, a proposed public library renovation needed to receive “yes” votes on at least 55% of the total ballots cast. If the proposal was approved with 64% of the cast ballots voting “yes”, how many more “yes” votes did it receive than the minimum number required to pass?
- 6.
A municipal hospital employs 1,200 staff members. A survey shows that 60% of the employees commute to work alone by private car, while the remaining employees commute using public transportation or carpooling. To reduce parking congestion, the hospital introduces a subsidized transit pass, which leads 30% of the private car commuters to switch to public transportation, while 15% of the public transit and carpool users switch to commuting alone by car due to shift changes. What percentage of the hospital's employees now commute alone by private car?
- 7.
A food processing facility packages artisanal trail mix consisting of roasted almonds, dried cranberries, and pumpkin seeds. In a 1,200-gram package, roasted almonds account for 45% of the total mass, while the mass of dried cranberries is 20% greater than the mass of pumpkin seeds. How many grams of pumpkin seeds are contained in this package?
- 8.
A manufacturing facility produces two models of commercial drones: delivery drones and surveillance drones. In March, the facility produced a total of 1,000 drones, of which 20% were delivery drones. In April, the monthly production of delivery drones increased by 80%, while the production of surveillance drones decreased by 45%. What percentage of the total drones produced in April were delivery drones?
- 9.
A university science course calculates each student's semester grade using three evaluation components: laboratory reports contribute 25%, a midterm exam contributes 35%, and a comprehensive final exam contributes the remaining 40%. Elena earns a score of 92% on her laboratory reports and 76% on her midterm exam. She aims to achieve an overall semester grade of at least 82% in the course. What is the minimum percentage score Elena must achieve on her comprehensive final exam to reach her goal?
- 10.
In July, a residential eco-district met its electricity demand using rooftop solar panels for 45% of its total needs and a community wind turbine for 30%, with the remaining 3,750 kilowatt-hours (kWh) drawn from the regional power grid. In August, the district's total electricity demand remained exactly the same, but favorable weather caused the solar panels to generate 20% more electricity than they produced in July, while the wind turbine produced the same amount as in July. How many kilowatt-hours of electricity did the eco-district need to draw from the regional power grid in August?
- 11.
An agricultural technician prepares 40 liters of a liquid fertilizer mixture containing 25% concentrated plant nutrients by volume. A sensitive greenhouse crop requires a milder spray solution containing only 10% concentrated plant nutrients by volume. How many liters of water must the technician add to the existing mixture to achieve this target concentration?
- 12.
A municipal reservoir currently holds 12,000 megaliters of water, which accounts for 75% of its total storage capacity. To prepare for seasonal runoff and prevent flooding during upcoming heavy rainfall, water managers must lower the water level until the reservoir holds only 45% of its total storage capacity. How many megaliters of water must be released from the reservoir to reach this target level?
- 13.
An e-commerce website recorded 50,000 visitors in its first week of operation, and 4% of these visitors completed a purchase. During the second week, the total number of visitors increased by 20%, while the proportion of visitors completing a purchase shifted to 3.5%. By what percentage did the total number of completed purchases increase from the first week to the second week?
- 14.
A botanical research greenhouse with an area of 500 square meters is divided into two sections: a tropical zone covering 60% of the space and an arid zone covering the remaining area. Researchers designate 45% of the tropical zone for growing orchids and 70% of the arid zone for growing succulents. What percentage of the greenhouse's total area is allocated to plants other than orchids and succulents?
- 15.
An electric delivery van is equipped with a battery that has a maximum capacity of 150 kilowatt-hours (kWh). At the start of a delivery shift, the battery is charged to 80% of its maximum capacity, and during the morning route, the vehicle consumes 35% of this stored energy. Before the afternoon route begins, the van is connected to a charging station that supplies an additional 27 kWh of electrical energy. What percentage of the battery's maximum capacity is charged after this charging session?
- 16.
A boutique home goods store purchases an artisan rug at a wholesale cost of $250. The store owner sets the display price by applying a 60% markup on the wholesale cost. During a seasonal clearance event, the store sells the rug at a 25% discount off the display price. What is the store owner's final profit expressed as a percentage of the original wholesale cost?
- 17.
A community youth center maintains a collection of 400 books, of which 35% are fiction books. The center receives a donation containing 60 new fiction books and 40 new non-fiction books, all of which are placed on the shelves. What percentage of the updated total book collection is made up of fiction books?
Answers and step-by-step solutions appear after you finish the test.