Study the pie chart carefully and answer the given questions.The pie chart…
2025
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
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. [Asked in Wipro NLTH 2017] [ This test belongs to Plus Members of KNOWLEDGE GATE ]
- A.
5:7
- B.
7:11
- C.
9:13
- D.
6:13
Show answer & explanation
Correct answer: D
Concept: In a pie chart, each sector's percentage is a share of the grand total — multiply the grand total by the percentage to get that category's actual count. When a category is itself split by a given ratio (such as boys to girls), apply that ratio's fraction of the whole to the category's total to get each sub-group's count.
Total students = 2200. Class VI = 20% of 2200 = 440 students.
In class VI, boys : girls = 6 : 5, so total parts = 11. Girls in class VI = (5/11) × 440 = 200. Boys in class VI = 440 − 200 = 240.
Class VII's girls count is 50 more than class VI's girls count: Girls in class VII = 200 + 50 = 250.
Class VII = 35% of 2200 = 770 students in total.
Boys in class VII = Total students in class VII − Girls in class VII = 770 − 250 = 520.
Required ratio = Boys in class VI : Boys in class VII = 240 : 520 = 6 : 13 (dividing both terms by 40).
Cross-check: The two girls counts, 200 and 250, differ by exactly 50, matching the given condition, and 240 + 200 = 440 correctly reconstructs class VI's total — confirming both intermediate splits before the final ratio is taken.