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According to the given table, what is the ratio of total students who passed to total students who failed considering all the three classes i.e. 10th,
Question

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

173 : 138

B.

369 : 141

C.

275 : 139

D.

265 : 159

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 ​​

Passed Students = 300 - 105 = 195 
Hindi:
Total Students =12010080×100=12020×100=600 \frac{120}{100 - 80} \times 100 = \frac{120}{20} \times 100 = 600 ​​
Passed Students = 600 - 120 = 480 
English:
Total Students =36010040×100=36060×100=600\frac{360}{100 - 40} \times 100 = \frac{360}{60} \times 100 = 600 ​​
Passed Students = 600 - 360 = 240 
Psychology:
Total Students=10010075×100=10025×100=400= \frac{100}{100 - 75} \times 100 = \frac{100}{25} \times 100 = 400 ​​
Passed Students = 400 - 100 = 300 
Biology:
Total Students =11010050×100=11050×100=220 \frac{110}{100 - 50} \times 100 = \frac{110}{50} \times 100 = 220 ​​
Passed Students = 220 - 110 = 110 

Total Passed Students:

195 (Maths) + 480 (Hindi) + 240 (English) + 300 (Psychology) + 110 (Biology) = 1325

Total Failed Students:

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

Total PassedTotal Failed=1325795=265159\frac{\text{Total Passed}}{\text{Total Failed}} = \frac{1325}{795}= \frac{265}{159}​​

Thus, the ratio of total students who passed to total students who failed is 265:159.

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