

Cost of the scooter = 22000 rupee
Cas payment = 4000
Balance = 22000 - 4000 = 18000
Now inteset in 1st installment = (18000*10*1)/100 = 1800
Now unpaid amount = 18000 - 1000 = 17000
Again inteset in 2nd installment = (17000*10*1)/100 = 1700
Unpaid amount = 17000-1000 = 16000
Again inteset in 3rd installment = (16000*10*1)/100 = 1600
Unpaid amount = 16000-1000 = 15000
and so on.
Now total ineterst is
1800, 1700,1600,..........up to 18 terms
It forms an AP
where a = 1800
d = 1700-1800 = -100
n =18
Total ineterst = (18/2)[2*1800 + (18-1)*(-100)] [Sn =(n/2){2*a + (n-1)*d} ]
= 9*[3600 - 1700]
= 9*1900
= 17100
Now total amount of the scooter = 22000 + 17100 = 39100 rupees
