The ratio of successful and unsuccessful examinees in an examination in a school is 6 : 1. The ratio would have been 9 : 1 if 6 more examinees had been successful. The total number of examinees is
1). 140
2). 120
3). 200
4). 160
Total students = 6x + x = 7x
$\therefore\frac{6x+6}{x-6}$ = $\frac{9}{1}$
=> 6x + 6 = 9x– 54
=> 9x – 6x = 54 + 6 = 60
=> 3x = 60
=> x = 20
$\therefore$ Total number of students = 7 × 20 = 140