Practicing Success

Target Exam

CUET

Subject

General Test

Chapter

Numerical Ability

Topic

Percentages

Question:

The population of a country has been declining at 1% every decade. If the projected population of the country in 2030 is given as 1940598, what was the population of the country in 2000?

Options:

2000000

1999990

2000450

2000616

Correct Answer:

2000000

Explanation:

Let initial income = 100x

100x × \(\frac{99}{100}\) × \(\frac{99}{100}\) × \(\frac{99}{100}\) = 1940598

100x = 1940598 × \(\frac{100}{99}\) × \(\frac{100}{99}\) × \(\frac{100}{99}\)

100x = 1940598 × 1.03061 = 2,000,000