Year 7 - Q10.2.10
20656
Challenge. Find every positive whole number \(N\lt 2000\) for which both \(0.4\%\) of \(N\) and \(125\%\) of \(N\) are whole numbers. Give both percentage amounts for the smallest possible \(N\) and explain why your list is complete.
Hint
Convert the percentages to \(\displaystyle \frac1{250}\) and \(\displaystyle \frac54\). Consider divisibility.