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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.

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