Kipp Johnson saw this inspirational quote online, which could be used for your New Year's Resolution (if you correct the math!):
"If you improve by 1% every day, within a year you will have improved by 365%."
Kipp noted that the math is just wrong. What is the correct percentage increase?
Solution to the Problem:
Here is the solution:The answer is 3678% improvement.
If you truly improve by 1% per day, the growth is compound, not additive.
So the correct calculation is:
(1.01)^365 − 1
Using this:
(1.01)^365 ≈ 37.7834
That means your improvement is about:
37.7834 − 1 = 36.7834 times better
Kipp noted that:
There's a small trap at the end in correctly figuring the percentage. The original amount is multiplied by 37.783, which means that the percentage increase is 3678%, not 3778%.
Davit Banana pointed out that the 365% can be reached on 154-155th day.
Correctly solved by:
| 1. Kamal Lohia | Hisar, Haryana, India |
| 2. Dr. Hari Kishan |
D.N. College, Meerut, Uttar Pradesh, India |
| 3. Davit Banana | Istanbul, Turkey |
| 4. Colin (Yowie) Bowey | Beechworth, Victoria, Australia |
| 5. David Marks | San Mateo, California, USA |
| 6. Ivy Joseph | Pune, Maharashtra, India |