Question : If the population of a town is 12,000 and the population increases at the rate of 10% per annum, then find the population after 3 years.
Option 1: 15,972
Option 2: 12,200
Option 3: 11,200
Option 4: 10,200
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Correct Answer: 15,972
Solution : Given, Population of town = 12,000 Percentage increase in population = 10% We know the population of the city in n years = Initial population $× (1 + \frac{r}{100})^n$, where r is the rate at which the population is increasing. $\therefore$ Population of the city in 3 years $= 12000 × (1 + \frac{10}{100})^3$ $= 12000 × (\frac{11}{10})^3$ $= 12000 × \frac{1331}{1000}$ $= 12 × 1331$ $= 15972$ Hence, the correct answer is 15,972.
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Question : The population of a town increases at the rate of 20% per annum. If the town's population will be 69,120 after 2 years, then what is the town's present population?
Option 1: 48,000
Option 2: 42,000
Option 3: 40,000
Option 4: 36,000
Question : The population of a village decreases at the rate of 40% per annum. If its population 2 years ago was 15,000, then find the present population.
Option 1: 5400
Option 2: 3500
Option 3: 4450
Option 4: 4400
Question : At what rate of compound interest (compounding annually) per annum will a sum of Rs. 250000 becomes Rs. 275625 in 2 years?
Option 1: 8% per annum
Option 2: 3% per annum
Option 3: 10% per annum
Option 4: 5% per annum
Question : Rachit invests Rs. 12,000 for a 2-year period at a certain rate of simple interest per annum. Prasad invests Rs. 12,000 for a 2-year period at the same rate of interest per annum as Rachit, but in Prasad's case, the interest is compounded annually. Find the rate of interest per annum if Prasad receives Rs. 172.80 more as interest than Rachit at the end of the 2-year period.
Option 1: 10%
Option 2: 8%
Option 3: 12%
Option 4: 5%
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
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