Question

a sum of 280 is to be used as award for prizes. if each prize after the first is rs. 20 less than its preceding prizes, find the value of the each prize.

Answer 1

Let amt for 1st prize=x
therefore, amt for 2nd prize = x-20
amt for 3rd prize = x-20-20 = x-40
amt for 4th prize = x-40-20 = x-60
therefore,
x+(x-20)+(x-40)+(x-60)=280
=>4x -120=280
=>x=100
therefore,
1st prize=Rs.100
2nd prize=Rs.80
3rd prize=Rs.60
4th prize=Rs.40

Answer 2

let the first prize be x
then 2nd prize =x -20
a/q
x+(x-20)=280
2x-20=280
2x=300
x=150
now
1st prize =x=150
2nd prize =x-20=150-20.=130
hope it helps you