Directions: Study the pie chart showing the percentage distribution of…
2023
Directions: Study the pie chart showing the percentage distribution of teachers across six districts and answer the question.
Total number of teachers: 6000
District A: 14%
District B: 16%
District C: 28%
District D: 15%
District E: 21%
District F: 6%
What is the difference between twice the number of teachers in District C and thrice the number of teachers in District D?
- A.
960
- B.
720
- C.
840
- D.
660
Attempted by 25 students.
Show answer & explanation
Correct answer: D
Concept: In a pie chart, each slice's percentage of the whole gives that category's count by the rule count = percentage × total. Once each count is known, any required quantity is just a linear combination of those counts — here, (twice one count) minus (thrice another).
Application:
Teachers in District C = 28% of 6000 = 0.28 × 6000 = 1680.
Teachers in District D = 15% of 6000 = 0.15 × 6000 = 900.
Twice District C = 2 × 1680 = 3360.
Thrice District D = 3 × 900 = 2700.
Required difference = 3360 − 2700 = 660.
Cross-check: Combine the percentages first: the difference equals (2 × 28% − 3 × 15%) of the total = (56% − 45%) of 6000 = 11% of 6000 = 660. Both routes agree, confirming the result.