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Percentage of girls in a stream

Students by stream and sex:

StreamBoysGirlsTotal
Science240160400
Commerce180120300
Arts80220300
Total5005001000

What percentage of Arts students are girls?

Show the answer and the worked solution

Correct answer: C.

73⅓%

Worked solution

  1. Arts: 220 girls out of 300 students.
  2. 220/300 = 11/15 = 73⅓%.

Answer: 73⅓%.

The idea

The base is the stream total, not the total number of girls in the school. Choosing the wrong base is what the distractors test.

Shortcut. 220/300 = 11/15; 1/15 is 6⅔%, so 11/15 is 73⅓%. Or: 225 girls would be 75%, and 220 is a little under.

Common trap. 75% — reading 220 out of 300 as roughly three-quarters; exactly three-quarters would need 225 girls.

Percentage of girls in a stream — Aptitude Question

Percentage of girls in a stream: Students by stream and sex: | Stream | Boys | Girls | Total |… Answer and worked solution on CodeKairo.

Question

Students by stream and sex:

StreamBoysGirlsTotal
Science240160400
Commerce180120300
Arts80220300
Total5005001000

What percentage of Arts students are girls?

Options

  1. 66⅔%
  2. 70%
  3. 73⅓%
  4. 75%
Show the answer and the worked solution

Correct answer: C. 73⅓%

Worked solution

  1. Arts: 220 girls out of 300 students.
  2. 220/300 = 11/15 = 73⅓%.

Answer: 73⅓%.

The idea

The base is the stream total, not the total number of girls in the school. Choosing the wrong base is what the distractors test.

Shortcut. 220/300 = 11/15; 1/15 is 6⅔%, so 11/15 is 73⅓%. Or: 225 girls would be 75%, and 220 is a little under.

Common trap. 75% — reading 220 out of 300 as roughly three-quarters; exactly three-quarters would need 225 girls.

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