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The following diagram shows the percentages of different grades of the 20000 students in the college. Observe the pie diagram and answer the questions

Question: Find the ratio between difference of number of students who got A and B grades to the difference of the number of students who got C and D grades?
  • a)
    14 : 3
  • b)
    17 : 11
  • c)
    5 : 14
  • d)
    3 : 14
Correct answer is option 'B'. Can you explain this answer?
Verified Answer
The following diagram shows the percentages of different grades of the...
From the given data
Percentage of number of students who got A grade = 42%
⇒ Number of students who got A grade = 42/100 × 20, 000 = 8400
Percentage of number of students who got B grade = 25%
⇒ Number of students who got B grade = 25/100 × 20,000 = 5000
Difference of number of students who got A and B grades = 8400 – 5000 = 3400
Percentage of number of students who got C grade = 22%
⇒ Number of students who got C grade = 22/100 × 20,000 = 4400
Percentage of number of students who got D grade = 11%
⇒ Number of students who got D grade = 11/100 × 20,000 = 2200
Difference of number of students who got C and D grades = 4400 - 2200 = 2200
∴ Ratio between difference of number of students who got A and B grades to the difference of number of students who got C and D grades = 3400 : 2200 = 17 : 11
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The following diagram shows the percentages of different grades of the 20000 students in the college. Observe the pie diagram and answer the questionsQuestion:Find the ratio between difference of number of students who got A and B grades to the difference of the number of students who got C and D grades?a)14 : 3b)17 : 11c)5 : 14d)3 : 14Correct answer is option 'B'. Can you explain this answer?
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