In a cricket tournament there was 16 teams a amount of 8000 was allocated fro prize if prize per team

@Stalin Just try to add . 725+695+665+635+605+......+275=8000
My ans is 100% correct
8 years agoHelpfull: Yes(5) No(2)
Ans is 725
Use AP sum formula
S=n/2(a+l)
Here,S=8000
n=16,l=275 and we have to find a
Putting values we get a=725
8 years agoHelpfull: Yes(3) No(1)
No Stalin, rohit was correct. Normally people are think this sum is wrong but it have answer by using formulae.
8 years agoHelpfull: Yes(2) No(0)
that was a dummy question
@ronit, if the first prize was 725, how could the whole sum will result to 8000.. try with logical concepts than formulae
8 years agoHelpfull: Yes(0) No(3)
Plz explains this question's solution in detail..
8 years agoHelpfull: Yes(0) No(0)
its a ap series so
a=275
d=225
n=16
sn=a/2{2a+(n-1)d}
8 years agoHelpfull: Yes(0) No(1)
s= 8(2*275+15d), Here what is the value 8 ?
8 years agoHelpfull: Yes(0) No(0)
@SHILPA the value 8 comes from (n/2).
since n=16(total no of teams)..then apply the summation formulae of AP SERIES.
8 years agoHelpfull: Yes(0) No(0)
We have,

The total sum of prize money to be awarded among 16 teams,
S
16
=
R
s
.
8000
and

the prize money awarded to the last place team i.e.,
a16= 275.

As, the award increases by the same amount for successive finishing places.

So, the prize money are in A.P.
S16= 8000.
16/2(a + a16) = 8000.
8( a + 275) = 8000
a + 275 = 8000/8
a = 1000 - 275
a = 725

725 is ans.
1 year agoHelpfull: Yes(0) No(0)

In a cricket tournament there was 16 teams.a amount of 8000 was allocated fro prize.if prize per team increase with amount of 225 according to rank.find amount given to first team if last team got 275.