divanshuj wrote:

This is frustrating me

A certain library assess fines for overdue books as follow. On the fist day that a book is overdue, the total fine is $0.10. For each additional day that book is overdue, the total fine is either increased by $0.30 or doubled, whichever results in the lesser amount. What is the total fine for a book on the fourth day its overdue?

a) $0.60

b) $0.70

c) $0.80

d) $0.90

e) $1.00

as per my calculation the answer should be $0.90 but the answer is actually $0.70...please explain

here is my reasoning:

Day 1 $0.10

Day 2 $0.20 ( doubled since its lesser that $0.30)

Day 3 $0.30 (since the double would be $0.40>$0.30)

Day 4 $0.30 (since the double would be $0.60>$0.30)

Total $0.90

Day 1 fine = 0.10

Day 2 Fine = 0.20 ( in total) As we doubled it

Day 3 Fine = 0.40 ( Doubled it because after doubling the fine is 0.40 < 0.50 ( .2 + .3)

Day 4 fine = 0.40 + 0.30 = 0.70 ( increased by 0.30)

PS: its asking for the total fine on the 4th day ..!

Hope that helps ..!