. In a cricket tournament 16 teams participated


A sum of Rs 8000 is to be awarded among themselves as prize money. If the last placed team is awarded Rs. 275 and the award increases by the same amount for successive finishing places, how much amount will the first place team received ?

 

Best Answer

Explanation:

Let the first team got x.

Since the difference in the award money is same, so it will form A.P.

Last term, (L)=275,n=16,S16=8000

Now, the general term is given by

Tn=a+(n-1)d

275=a+15d...(i)

And sum of series is given by

Sn=n/2(a+L)

⇒8000=16/2(2a+15d)

⇒1000=2a+15d...(ii)

Now, subtracting (i) from (ii),

(2a+15)-(a+15d)=1000-275

Final Answer:

Rs.725will be awarded to the first team.

  

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