Question

A sum of rupees 700 is to be used to give seven cash prizes to the students for their overall academic performance. If each prize is rs.20 less than its preceeding prize, find the value of each prize.​

Answer 1

consider the series as an AP series

where

first element = a

common difference(d)=-20

no of elements(n) =7

sum of all elements(s)= 700

s=n/2 (2a+(n-1)d)

700=7/2 (2a+(7-1)(-20))

200=2a-120

320=2a

a=160

hence the series will be

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

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