Percentage Calculation Questions - CCAT Test Prep

This type of question tests your understanding of percentages and how to calculate unsold quantities when a specific percentage of seats or items is sold. In this example, a stadium has a fixed number of seats, and 85% of those seats have been sold. To solve the question, you need to calculate the number of unsold seats based on the percentage that was sold. This is a common type of problem in real-life situations, like calculating leftover items or vacancies.

percentage-calculation

How to Calculate Remaining Quantities Quickly

Question 1 - Quick Percent Calculation

If a stadium that seats 80,000 sells 85% of its seats for an event, how many tickets were NOT sold?

  • A) 6,000
  • B) 10,000
  • C) 12,000
  • D) 14,000
  • E) 18,000

Step-by-Step Mental Solution:

  1. Calculate 10% of the Total Seats:

10_percent 
	= 80_000 * 0.10 
	= 8_000
  1. Calculate 5% of the Total Seats:

5_percent 
	= 80_000 * 0.05 
	= 4_000
  1. Add 10% and 5%:

15_percent 
	= 10_percent + 5_percent 
	= 8_000 + 4_000 
	= 12_000
  1. Determine Unsold Seats:

Unsold_seats = 12_000

Answer: 12,000

Question 2 - Easy Percent Breakdown

If a theater has 600 seats and sells 75% of its tickets, how many tickets were NOT sold?

  • A) 100
  • B) 120
  • C) 150
  • D) 160
  • E) 200

Step-by-Step Mental Solution:

  1. Calculate 25% of the Total Seats:

25_percent 
	= 600 / 4 
	= 150
  1. Determine Unsold Tickets:

Unsold_tickets = 150

Answer: 150

Question 3 - Half and Half Calculation

A store has 1,000 items in stock, and they sold 60% of their inventory during a sale. How many items were left unsold?

  • A) 300
  • B) 350
  • C) 400
  • D) 450
  • E) 500

Step-by-Step Mental Solution:

  1. Calculate 50% of the Total Items:

50_percent 
	= 1_000 * 0.50 
	= 500
  1. Calculate 10% of the Total Items:

10_percent 
	= 1_000 * 0.10 
	= 100
  1. Combine Percentages:

60_percent 
	= 50_percent + 10_percent 
	= 500 + 100 
	= 600
  1. Determine Unsold Items:

Unsold_items 
	= 1_000 - 600 
	= 400

Answer: 400

How to Solve These Questions in Your Head

  1. Break Down Percentages: Use easy percentages like 10%, 25%, 50% to simplify the calculations.
  2. Add or Subtract: Once you have smaller chunks, add or subtract them to get the desired percentage.
  3. Focus on Complements: If you need to calculate how many items are NOT sold, focus on the complementary percentage. For example, if 85% is sold, calculate 15% unsold.

20 Practice Questions - Percentage Sold

  1. A stadium has 100,000 seats, and 70% of them were sold. How many seats were NOT sold?
  • A) 20,000
  • B) 25,000
  • C) 30,000
  • D) 35,000
  • E) 40,000
  1. A concert hall has 1,500 seats, and 90% of the seats were filled. How many seats were NOT filled?
  • A) 100
  • B) 120
  • C) 130
  • D) 150
  • E) 200
  1. If a library has 500 books and 80% of them are checked out, how many books are still available?
  • A) 80
  • B) 90
  • C) 100
  • D) 120
  • E) 150
  1. A theater has 200 seats, and 75% of the tickets were sold. How many tickets were NOT sold?
  • A) 40
  • B) 50
  • C) 60
  • D) 70
  • E) 80
  1. A school has 800 students, and 25% of the students participated in an event. How many students did NOT participate?
  • A) 500
  • B) 550
  • C) 600
  • D) 620
  • E) 650
  1. A cinema has 300 seats, and 85% of them were sold for a movie. How many tickets were NOT sold?
  • A) 30
  • B) 35
  • C) 40
  • D) 45
  • E) 50
  1. A bus has 50 seats, and 20% of them are occupied. How many seats are still available?
  • A) 30
  • B) 35
  • C) 38
  • D) 40
  • E) 45
  1. A store stocked 1,200 items and sold 80% of them. How many items remain?
  • A) 180
  • B) 200
  • C) 220
  • D) 240
  • E) 250
  1. A building has 400 offices, and 50% of them are rented out. How many offices are NOT rented?
  • A) 150
  • B) 180
  • C) 200
  • D) 220
  • E) 240
  1. A gym has 100 lockers, and 70% of them are in use. How many lockers are NOT in use?
  • A) 25
  • B) 30
  • C) 35
  • D) 40
  • E) 45
  1. A farm has 500 acres, and 60% of it is used for growing crops. How many acres are NOT used for crops?
  • A) 100
  • B) 150
  • C) 200
  • D) 250
  • E) 300
  1. A concert venue has 2,500 tickets, and 90% of them were sold. How many tickets were NOT sold?
  • A) 150
  • B) 200
  • C) 225
  • D) 250
  • E) 275
  1. A sports arena has 12,000 seats, and 95% of them were sold. How many seats were NOT sold?
  • A) 400
  • B) 500
  • C) 550
  • D) 600
  • E) 650
  1. A bakery has 600 pastries, and 50% were sold. How many pastries are left?
  • A) 200
  • B) 250
  • C) 275
  • D) 280
  • E) 300
  1. A bus station has 300 buses, and 70% of them are running. How many buses are NOT running?
  • A) 80
  • B) 85
  • C) 90
  • D) 95
  • E) 100
  1. A parking lot has 1,000 spaces, and 60% are filled. How many spaces are still available?
  • A) 300
  • B) 350
  • C) 400
  • D) 450
  • E) 500
  1. A classroom has 40 students, and 25% were absent. How many students were present?
  • A) 25
  • B) 28
  • C) 30
  • D) 32
  • E) 35
  1. A field has 1,500 flowers, and 30% were picked. How many flowers remain?
  • A) 950
  • B) 1,000
  • C) 1,050
  • D) 1,100
  • E) 1,150
  1. A zoo has 300 animals, and 90% are mammals. How many animals are NOT mammals?
  • A) 10
  • B) 20
  • C) 25
  • D) 30
  • E) 35
  1. A festival has 5,000 attendees, and 40% bought merchandise. How many attendees did NOT buy merchandise?
  • A) 2,000
  • B) 2,500
  • C) 2,800
  • D) 3,000
  • E) 3,200

Answers:

  1. 30,000
  2. 150
  3. 100
  4. 50
  5. 600
  6. 45
  7. 40
  8. 240
  9. 200
  10. 30
  11. 200
  12. 250
  13. 600
  14. 300
  15. 90
  16. 400
  17. 30
  18. 1,050
  19. 30
  20. 3,000
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