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In the following question, two statements are numbered as A and B. On solving these statements, we get quantities A and B respectively. Solve both quantities and choose the correct option. Quantity I: Before 4 years, the population of the village is 8000. If the population of the village is increased by 5% in the first year, decreased by 8% in the second year, again decreased by 5% in the third year and increased by some per cent in forth year. The difference between the population of the village before 4 years and after 4 years is 75.76. Find the percentage by which the population increased in the forth year. Quantity II: 9%

In the following question, two statements are numbered as A and B. On solving these statements, we get quantities A and B respectively. Solve both quantities and choose the correct option. Quantity I: Before 4 years, the population of the village is 8000. If the population of the village is increased by 5% in the first year, decreased by 8% in the second year, again decreased by 5% in the third year and increased by some per cent in forth year. The difference between the population of the village before 4 years and after 4 years is 75.76. Find the percentage by which the population increased in the forth year. Quantity II: 9% Correct Answer <span lang="EN-US" style=" line-height: 107%; background-image: initial; background-position: initial; background-size: initial; background-repeat: initial; background-attachment: initial; background-origin: initial; background-clip: initial;">Quantity I &gt; Quantity II</span>

Quantity I:

Initial population of village = 8000

Population of village after 4 years = 8000 + 75.76 = 8075.76

⇒ 8000 × 105/100 × 92/100 × 95/100 × ?/100 = 8075.76

⇒ ? = 110

In the fourth year, it is increased by 10%.

Quantity II: 9%

So, we can observe Quantity I > Quantity II.

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