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The following table shows the percentage of students (Boys and Girls) who have successfully completed…

With 200 boys passing at 40 percent and G girls passing at 60 percent, the overall 44 percent gives \(\frac{80 + 0.6G}{200+G} = 0.44\). This becomes \(80 + 0.6G = 88 +…

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The following table shows the percentage of students (Boys and Girls) who have successfully completed their respective academic programmes, namely, B.A., B.Sc., B.Com., B.B.A., B.C.A. and B.Tech. in a college. Based on the data in the table, answer the question.
Programme-wise Percentage of Successful Students. In B.Com. programme, 44% of the total students passed. If total number of boys in B.Com. is 200, then what is the total number of girls in B.Com.?

ProgrammeBoysGirls
B.A.80%60%
B.Sc.80%70%
B.Com.40%60%
B.B.A.90%60%
B.C.A.70%80%
B.Tech.70%60%
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Answer and explanation

Correct answer A

With 200 boys passing at 40 percent and G girls passing at 60 percent, the overall 44 percent gives 80+0.6G200+G=0.44\frac{80 + 0.6G}{200+G} = 0.44. This becomes 80+0.6G=88+0.44G80 + 0.6G = 88 + 0.44G, so 0.16G=80.16G = 8 and G=50G = 50. The number of girls is 50.

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