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The population of college after 4 years is 8228. The population of college is in the first year increases by 10%, decreases by 15% in the second year, increases by 10% in the third year and decreased by a certain percentage in the fourth year. The total population of college in the first year and after four years is 18228. Find the percentage by which the population gets decreased in the fourth year.

The population of college after 4 years is 8228. The population of college is in the first year increases by 10%, decreases by 15% in the second year, increases by 10% in the third year and decreased by a certain percentage in the fourth year. The total population of college in the first year and after four years is 18228. Find the percentage by which the population gets decreased in the fourth year. Correct Answer 20%

Given:

Population after 4 years = 8228

Formula used:

New population = (100 + x)/100 × Actual population            (population increased by x%)

New population = (100 – x)/100 × Actual population (population decreased by x%)

Calculation:

Population of college after 4 years = 8228

Let the population of college gets decreased in the fourth year by N%.

Population of college in first year = 18228 – 8228 = 10000

According to the question,

8228 = 10000 × 110/100 × 85/100 × 110/100 × (100 – N)/100

⇒ N = 20

∴ Population of college gets decreased by 20% in the fourth year.

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