The ratio of the total number of students scoring marks less than 50% to that of scoring marks exactly 50% is:
|
School |
Number of students scoring marks less than 50% |
Percentage of students scoring marks more than 50% |
Number of students appeared |
|
A |
270 |
55 |
600 |
|
B |
120 |
40 |
400 |
|
C |
300 |
20 |
375 |
|
D |
220 |
10 |
350 |
|
E |
200 |
25 |
300 |
Study the above table and answer the question.
Answer & explanation
Correct answer: option 2
Total number of students scored less than 50% = 270 + 120 + 300 + 220 + 200 = 1110
Students with more than 50% marks = \(\frac{55}{100}\) × 600 + \(\frac{2}{5}\) × 400 + \(\frac{1}{5}\) × 375 + \(\frac{1}{10}\) × 350 + \(\frac{1}{4}\) × 300
= 330 + 160 + 75 + 35 + 75 = 675
Total number of students having exactly 50% marks = ( 600 + 400 + 375 + 350 + 300 ) - 1110 - 675
= 2025 - 1110 - 645 = 240
Required ratio , 1110 : 240
= 111 : 24