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According to the given table, what is the percentage of the total students who failed considering all the three classes i.e. 10th, 11th and 12th and i
Question

According to the given table, what is the percentage of the total students who failed considering all the three classes i.e. 10th, 11th and 12th and in all five given subjects?

Class

Subjects

Pass % of Students

No. of Failed Students

10th

Maths

65

105

10th

Hindi

80

120

11th

English

40

360

12th

Psychology

75

100

12th

Biology

50

110

A.

36.7

B.

31.8

C.

38.6

D.

37.5

Correct option is D

Given:

A table showing pass percentages and the number of failed students for five subjects.
Formula Used:

Total Students=Failed Students100Pass %×100\text{Total Students} = \frac{\text{Failed Students}}{100 - \text{Pass \%}} \times 100 ​​
Solution:
Maths:
Total Students =10510065×100=10535×100=300 \frac{105}{100 - 65} \times 100 = \frac{105}{35} \times 100 = 300 ​​

Hindi:
Total Students =12010080×100=12020×100=600 \frac{120}{100 - 80} \times 100 = \frac{120}{20} \times 100 = 600 ​​
English:
Total Students =36010040×100=36060×100=600\frac{360}{100 - 40} \times 100 = \frac{360}{60} \times 100 = 600 ​​
Psychology:
Total Students=10010075×100=10025×100=400= \frac{100}{100 - 75} \times 100 = \frac{100}{25} \times 100 = 400 ​​
Biology:
Total Students =11010050×100=11050×100=220 \frac{110}{100 - 50} \times 100 = \frac{110}{50} \times 100 = 220 ​​
Total Students:

300 (Maths) + 600 (Hindi) + 600 (English) + 400 (Psychology) + 220 (Biology) = 2,120

Total Failed Students:

105 (Maths) + 120 (Hindi) + 360 (English) + 100 (Psychology) + 110 (Biology) = 795

Percentage of Failed Students = 7952120×100=37.5%\frac{795}{2120}\times 100 =37.5\% ​

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