Question

A sum of rupees 16000 is to be used to give 10 student crash price of a school for the overall academic performance if each price is rupees 20 less than preceding price find the value of each price

Answer 1

given- Sum(Sn)=16000rs

difference(d)=-20

n=10

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

or, 16000=10/2{2a +(10-1)(-20)}

or, 16000=5(2a -180)

or, (3200+180)/2=a

thus, a=1690

thus, everyone will get starting from first prize till 10th prize in order

1690,1670,1650,1630,1610,1590,1570,1550,1530,1510