Question : The current population of the town is 68,000. The population increases by 10 percent in the first year and decreases by 30% in the second year. Find the population after 2 years.
Option 1: 52,360
Option 2: 68,500
Option 3: 69,000
Option 4: 70,100
Correct Answer: 52,360
Solution :
Given: The current population of the town is 68,000.
Percentage = $\frac{\text{Value}}{\text{Total value}}\times 100$
The population increases by 10% in the first year, then the population becomes = 68000 + $\frac{10}{100}\times 68000$
= 68000 + 6800 = 74,800
The population decreases by 30% in the second year = 74800 – $\frac{30}{100}\times 74800$
= 74800 – 22440 = 52,360
Hence, the correct answer is 52,360.
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