Question

The population of a village has reduced by $5\%$ and is now $23,750$ due to village migrating to the neighboring city. What was the population before?

Answer 1

Let, the population of a village before migrating be $X$.

If the population of a village has reduced by $5$% and is now $23,750$

i.e., $95$% of $X=23,750$

$⟹\frac{95}{100}\times X=23,750$

$⟹X=\frac{100}{95}\times 23,750$

$⟹X=100\times 250$

$X=25,000$

Therefore, the population of a village before migrating be $25,000$.