Study the following table and answer question. Number of students appeared in an examination from five cities: Cities No. of Students (in thousands) Ratio of students passed and failed A 54 5 ∶ 04 B 126 4 ∶ 03 C 84 10 ∶ 11 D 96 9 ∶ 07 E 132 6 ∶ 05 The total number of students who appeared in the examination from cities C and D is what percent more than the total number of students who failed in cities A, B and E? (nearest to an integer)
Study the following table and answer question. Number of students appeared in an examination from five cities: Cities No. of Students (in thousands) Ratio of students passed and failed A 54 5 ∶ 04 B 126 4 ∶ 03 C 84 10 ∶ 11 D 96 9 ∶ 07 E 132 6 ∶ 05 The total number of students who appeared in the examination from cities C and D is what percent more than the total number of students who failed in cities A, B and E? (nearest to an integer) Correct Answer 30
Total number of students in city A = 54
⇒ Total number of students in city B = 126
⇒ Total number of students in city C = 84
⇒ Total number of students in city D = 96
⇒ Total number of students in city E = 132
Ratio of students Passed and Failed in city A = 5 : 4
⇒ Ratio of students Passed and Failed in city B = 4 : 3
⇒ Ratio of students Passed and Failed in city C = 10 : 11
⇒ Ratio of students Passed and Failed in city D = 9 : 7
⇒ Ratio of students Passed and Failed in city E = 6 : 5
Total number of students who appeared in examination from cities C and D = 84 + 96 =180
Total number of students who failed in cities A, B and E =
Number of students who failed in A = (4/9) × 54 = 24
Number of students who failed in B = (3/7) × 126 = 54
Number of students who failed in E = (5/11) × 132 =60
⇒ (24 + 54 + 60) = 138
The total number of students who appeared in the examination from cities C and D more than Total number of students who failed in cities A, B and E = 180 – 138 = 42
⇒ (42/138) × 100 = 30.43%
∴ the required percentage = 30.43%