The employee-manager ratio at a certain company was 25:4, but when the

@iwantrocaGiven: ­The employee-manager ratio at a certain company was 25:4, but when the company laid off eighty employees for budgetary reasons, seventeen managers resigned in protest.
Asked: Which of the following could be the new employee-manager ratio at the company?
Let the employees and managers in the company be 25k & 4k respectively
After laying off 80 employees and 17 managers, new employee-manager ratio = (25k-80)/(4k-17) = 5(5k-16)/(4k-17)

When k = 5; (25k-80)/(4k-17) = 45/3
When k = 6; (25k-80)/(4k-17) = 70/7 = 10
When k = 7; (25k-80)/(4k-17) = 95/11
When k = 8; (25k-80)/(4k-17) = 120/15 = 8
When k = 9; (25k-80)/(4k-17) = 145/19 
When k = 10; (25k-80)/(4k-17) = 170/23
When k = 11; (25k-80)/(4k-17) = 195/27 = 63/9
When k = 12; (25k-80)/(4k-17) = 220/31 
When k = 13; (25k-80)/(4k-17) = 245/35 = 49/7 = 7
When k = 14; (25k-80)/(4k-17) = 270/39 
When k = 15; (25k-80)/(4k-17) = 295/43
When k = 16; (25k-80)/(4k-17) = 320/47
When k = 17; (25k-80)/(4k-17) = 345/51
When k = 18; (25k-80)/(4k-17) = 370/55 = 74/11
When k = 19; (25k-80)/(4k-17) = 395/59 
When k = 20; (25k-80)/(4k-17) = 420/63
When k = 21; (25k-80)/(4k-17) = 445/67
When k = 22; (25k-80)/(4k-17) = 470/71
When k = 23; (25k-80)/(4k-17) = 495/75 = 99/15 = 33/5

IMO C
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