Question

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

Answer 1

let least price be x

next prize is x+20

next prize is x+40

next prize is x+60

next prize is x+80

next prize is x+100

next prize is x+120

sum=7x+420=700

7x=280

x=40

the prizes are 40,60,80,100,120,140,160

Answer 2

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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