Correct Answer - Option 4 : 8 : 15
Given:
The number of boys who donated blood in the department A = 48
The number of girls who donated blood in the department A = 40%
The number of boys who donated blood in department B = 75
The number of girls who donated blood in department B = 50%
Calculations:
Department |
percentage of girls |
percentage of blood donating girls* |
number of blood donating Boys* |
percentage of blood donating boys |
number of blood donating girls |
A |
25% |
40% |
48 |
60% |
32 |
B |
40% |
50% |
75 |
50% |
75 |
C |
30% |
70% |
39 |
30% |
91 |
The number of girls who donated blood in the department A = 48 × 100/60 × 40/100 = 32
Total number of students who donated blood in department A = 32 + 48 = 80
The number of girls who donated blood in department B = 75 (∵ 50% in department B = 75)
the number of students who donated blood in department B = 75 + 75 = 150
The ratio of the number of blood donors in the department 'A' compared to the number of blood donors in 'B = 80 ∶ 150
∴ The ratio of the number of blood donated in the department 'A' compared to the number of blood donors in 'B' is 8 ∶ 15