Question

A sum of rs 700 is to be used to give seven cash prizes to students of school for their academic performance. If each prize is rs 20 less then its preceding prize. Find the value of each prize.​

Answer 1

Answer:

let first prize be x

(x)+(x-20)+(x-40)+(x-60)+(x-80)+(x-100)+(x-120)=700

7x-420=700

7x=1120

x=160

value of prizes will be 160,140,120,100,80,60,40...

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Answer 2

Step-by-step explanation:

Sn=700

n=7

d=-20

a=?

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

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

700*2/7=2a-120

100*2=2a-120

200=2a-120

200+120=2a

320=2a

a=320/2

160

Value of prices are 1=160

2=140

3=120

4=100, 5=80 , 6=60 , 7=40

The above are the prices

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