The following table shows the percentage (%) distribution of 12th class…

2023

The following table shows the percentage (%) distribution of 12th class students scoring (i) 95% and above marks, and (ii) between 90 - 95% marks, along with ratio of Girls to Boys among them from six schools A-F of Delhi. Total number of students scoring 95% and above marks and between 90 - 95% marks are 6000 and 10000, respectively. Based on the data in the table, answer the questions that follow.

School-wise Distribution of Students Based on Marks

School

Scoring 95% and above marks (6000) Percentage of students

Scoring 95% and above marks (6000) Girls : Boys

Scoring between 90 - 95% marks (10000) Percentage of students

Scoring between 90 - 95% marks (10000) Girls : Boys

A

13%

11 : 5

16%

3 : 2

B

18%

5 : 7

6%

1 : 4

C

17%

3 : 5

10%

5 : 3

D

8%

7 : 1

28%

2 : 3

E

24%

5 : 4

21%

9 : 5

F

20%

5 : 3

19%

3 : 4

The number of girls of school B who scored between 90 - 95 % marks is approximately ________ % of the number of girls of school D Who scored 95% and above marks.

  1. A.

    28.57

  2. B.

    22.46

  3. C.

    29.95

  4. D.

    32.46

Show answer & explanation

Correct answer: A

First, calculate School B students scoring 90-95%: 6% of 10,000 = 600. Girls ratio is 1:4, so girls = 600 * (1/5) = 120.

Next, calculate School D students scoring 95%+: 8% of 6,000 = 480. Girls ratio is 7:1, so girls = 480 * (7/8) = 420.

Finally, find the percentage: (120 / 420) * 100 ≈ 28.57%.

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