A sum of rs 700 is to be used

Asked by admin @ 16/08/2021 in Math viewed by 317 People

a sum of Rs 700 is to be used to give seven cash prizes to students of a school for their overall academic performance.if each prize is Rs 20 less than its preceding prize,find the value of each prize.

Answered by admin @ 16/08/2021

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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