In a cricket tournament 16 school terms participated. A sum of Rs8000 is to be awarded among themselves as prize money. If the last placed team is awarded Rs.275 in prize money and the award increases by the same amount for successive finishing places, amount will the first place team received is

 In a cricket tournament 16 school terms participated. A sum of Rs8000 is to be awarded among themselves as prize money. If the last placed team is awarded Rs.275 in prize money and the award increases by the same amount for successive finishing places, amount will the first place team received is

  1. A

    Rs.720

  2. B

    Rs.725

  3. C

    Rs.735

  4. D

    Rs. 780

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    Solution:

    Here,n=16,Sn=8000

    Since, we consider last place team as a first term,

    a=275

    Let common difference be d.

    Sn=n2[2a+(n1)d] 8000=162[2×275+(161)d]1000=(550+15d)15d=450d=30 Now, T16=275+(161)30=275+450=725

    .'. The first place team will get the prize Rs725.

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