m + (n - 3) + 25 + (m - 2) + n = 100
m + n = 40 -----(1)
Total number of females who use student visa = 1200
Total number of people who use student visa = 1200 * 5/2 = 3000
Total number of males who use student visa = 3000 - 1200 = 1800
Total number of people who use five types of visas = 3000*100/25 = 12000
Total number of people who use transit visa = (m - 2)% of 12000 = 120(m - 2)
Total number of males who use transit visa = 3/5 of 120(m - 2) = 72(m - 2)
Total number of males who use journalist visas = [72(m - 2) + 1800]/2 = 36m + 828
Total number of females who use journalist visas = 110% of 1200 = 1320
Now,
36m + 828 + 1320 = n% of 12000
10n - 3m = 179 ------(2)
From (1) and (2)-
m = 17 and n = 23
Total number of people who use journalist visas = 23% of 12000 = 2760
Total number of males who use journalist visas =2760 - 1320 = 1440
Total number of people who use transit visa = 120(17 - 2) = 1800
Total number of males and females who use transit visa are 1080 and 720 respectively.
Total number of people who use business visa = 17% of 12000 = 2040
Total number of males and females who use business visa are 867 and 1173 respectively.
Total number of people who use tourist visa = (23-3)% of 12000 = 2400
Total number of males and females who use tourist visa are 1020 and 1380 respectively.
In tabular form-
| Visa | Total number of people | Total male | Total female |
| Business visa | 2040 | 867 | 1173 |
| Tourist visa | 2400 | 1020 | 1380 |
| Student visa | 3000 | 1800 | 1200 |
| Transit visa | 1800 | 1080 | 720 |
| Journalist visa | 2760 | 1440 | 1320 |
Total number of people who use journalist visa = 2760
Total number of males who use student visa = 1800
(n/p)% = 2760/1800
p = 3/20 (since n = 23)
Since, 'p' is a root of equation 20x2 - (n - 10)x - a = 0
20*(3/20)2 - (23 - 10)*3/20 - a = 0
9/20 - 39/20 - a = 0
a = -3/2
Study Notes
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