City | Percentage of persons not attending seminar | Percentage of male attending seminar | Male : Female (Not attending seminar) |
A | 60% | 60% | 7 : 5 |
B | 75% | 25% | 4 : 5 |
C | 35% | 30% | 2 : 3 |
D | 20% | 70% | 2 : 1 |
Let the total number of persons in city A and city C be 6x and 5x respectively.
Number of persons attending seminar from city A = 6x * 40/100 = 2.4x
Number of females attending seminar from city A = 2.4x * 40/100 = 0.96x
Number of persons attending seminar from city C = 65/100 * 5x = 3.25x
Number of females attending seminar from city C = 3.25x * 70/100 = 2.275x
According to question,
2.275x - 0.96x = 526
1.315x = 526
x = 400
Number of males attending seminar from city A = 6 * 400 * 40/100 * 60/100 = 576
Number of males attending seminar from city C = 5 * 400 * 65/100 * 30/100 = 390
Required sum = 576 + 390 = 966