| The ratio of successful and unsuccessful examines in an examination in a school is 6: 1. The ratio would have been 9: 1, if 6 more examines had been successful. The total number of examines is [SSC (10+2) 2012] |
A) 140
B) 120
C) 200
D) 160
Correct Answer: A
Solution :
| Let the successful and unsuccessful examines in an examination be \[6x\]and \[x,\]respectively. Then, \[\frac{6x+6}{x-6}=\frac{9}{1}\]\[\Rightarrow \]\[6x+6=9x-54\] |
| \[\Rightarrow \] \[3x=60\]\[\Rightarrow \]\[x=20\] |
| \[\therefore \]Total number of examines \[=6x+x=7x\] |
| \[=7\times 20=140\] |
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