Study the pie chart carefully and answer the given questions.The pie chart…

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Study the pie chart carefully and answer the given questions.The pie chart shows the percentage breakup of students in different classes from VI to X in the year 2017

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If in class VI, the ratio of boys to girls is 6:5 and the total number of girls in class VI is 50 less than that of the total number of girls in class VII.

Find the ratio of the total number of boys in class VI to class VII.

  1. A.

    5:7

  2. B.

    7:11

  3. C.

    9:13

  4. D.

    6:13

Attempted by 17 students.

Show answer & explanation

Correct answer: D

Key insight: use the percentages of total students and the given boys:girls ratio to find counts for each class.

  1. Total students = 2200. Class VI has 20% of 2200 = 440 students.

  2. In class VI, boys:girls = 6:5 → total parts = 11. Girls in VI = (5/11)×440 = 200, so boys in VI = 440 − 200 = 240.

  3. Girls in class VII = girls in VI + 50 = 200 + 50 = 250.

  4. Class VII has 35% of 2200 = 770 students. Therefore boys in VII = 770 − 250 = 520.

  5. Required ratio of boys in VI to boys in VII = 240 : 520 = (divide both by 40) = 6 : 13.

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