The population of a city increased by 5%, 2% and 6% in the first, second and third year, respectively. At the end of the third year, the population became 56,763. Find the initial population of the city.
Answer & explanation
Correct answer: option 4
Let the population of the city three years before be P, then
P × \(\frac{105}{100}\) ×\(\frac{102}{100}\) ×\(\frac{106}{100}\) = 56,763
P = 56763 × \(\frac{20}{21}\) × \(\frac{50}{51}\) × \(\frac{50}{53}\)
P = 50000