question_answer

Rs. 6500 were divided equally among a certain number of persons. Had there been 15 more persons each would have got Rs 30 less. Find the original number of persons.

A)  45                                         

B)  50

C)  55                                         

D)  48

Correct Answer: B

Solution :

                 Let there be originally x persons then\[\frac{6500}{x}=\frac{6500}{x+15}+30\] \[\Rightarrow \]               \[\frac{6500}{x}=\frac{6500+30x+450}{x+15}\] or            \[{{x}^{2}}+15x-3250=0\] \[\Rightarrow \]                               \[x=50\]