Answer :

Let p be the first prize awarded to students

Since there are 7 cash prizes, n = 7


So a1 = x


Then the preceding prizes will be Rs. 20 lesser


So the series will be


p, p-20, p-40,…. p-120.


Since preceding prizes will be Rs. 20 lesser the common difference is 20


The sum of all prizes are given by (s7) = 700


[2×(p)+(7-1)(-20)] = 700


(2p - 120) = 200


2p = 320


P = 160


So, the each prize cost will be


160, 140, 120, 100, 80, 60, 40


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