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
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Correct Answer: 5400
Solution : Given: The population of a village decreases at the rate of 40% per annum. The population 2 years ago was 15,000. The previous population ($x$) = 15000 The decrease rate ($r$) = 40% Time ($t$) = 2 years So, the present population = $x(1-\frac{r}{100})^2$ = $15000(1-\frac{40}{100})^2$ = $15000×\frac{3}{5}×\frac{3}{5}$ = $5400$ Hence, the correct answer is 5400.
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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
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 : At present, the number of trees in a village is 52,020. It increases annually at the rate of 2%. What was the number of trees in the village two years ago?
Option 1: 45,000
Option 2: 51,250
Option 3: 50,000
Option 4: 48,000
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 : Rohan borrows a certain sum at simple interest. The rate of interest is 3 percent per annum for the first 3 years, 4 percent per annum for the next 5 years, and 6 percent per annum for the next 7 years. If he paid Rs. 2485 as interest, then what is the sum borrowed?
Option 1: Rs. 2500
Option 2: Rs. 3500
Option 3: Rs. 4000
Option 4: Rs. 3600
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