Given below are two statements :

Statement I :
Ram and Shyam can finish a task by working together in 6 days. If Shyam can finish the task by working alone in 8 days, then Ram alone will take 24 days to finish it.

Statement II :
If 6 persons working 8 hours a day earn ₹8,400 per week, then 9 person working 6 hours a day will earn ₹9,450 per week.
In the light of the above statements, choose the correct answer from the options given below :

Statement I :

If Shyam can finish the task by working alone in 8 days, so he will do $$\dfrac{6}{8}\times100=75\%$$ os the work in 6 days.

The remaining 25% is done by Ram is 6 days.

So, if Ram does 25% of the work in 6 days, he will take $$\dfrac{100}{25}\times6=24$$ days to complete the work alone.

Hence, the given statement is true.

Statement II :

Assume 1 person does 1 man hour work in one hour

So, in one week, working 8 hours a day, 

The total work done by 6 person is $$6\times8\times7=336$$ man hours

Assume the payment to be Rs. $$x$$ per man-hour

So, $$336x=8400$$

or, $$x=25$$

The total man hours for 9 persons working 6 hours a day for a week will be

$$9\times6\times7=378$$

So, the money earned is $$378x=378\times25=9450$$

Hence, the given statement is true.