During the first year, the population of a city increased by 5%, and during the second year, it diminished by 4%. At the end of the second year, its population was 30,240. The population at the end of the first year was:
Show answer & explanation
Correct answer: C
Explanation
The correct answer is Option 3 i.e. 31500.
Let, the initial population of the city x
⇒ x × 105% × 96% = 30240
⇒ x × 105 × 96 = 30240 × 10000
⇒ x = 30000
The population of the city at the end of the first year = 30000 × 105% = 31500