The population of a village is increased by 3%. Had there been 122 less, there would have been a decrease of 1%. Find the original population.
Show answer & explanation
Correct answer: B
Explanation
The correct answer is option 2 i.e 3050.
Let the original population be x.
Case 1:
Population increased by 3% → New population = x + 3% of x = 1.03x
Case 2:
If the population were 122 less, the increase would turn into a 1% decrease
→ New population = x - 1% of x = 0.99x
But it's also equal to (1.03x - 122)
1.03x - 122 = 0.99x ⇒ 1.03x - 0.99x = 122 ⇒ 0.04x = 122 ⇒ x = 122 / 0.04 = 3050