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
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Correct Answer: 50,000
Solution : Given, The present number of trees in a village = 52,020 Annual Increase percentage = 2% Let the number of trees two years ago be $x$. ⇒ Number of trees one years ago after increase $=x+\frac{2}{100}×x= x+\frac{x}{50}$ One years ago number of trees $=\frac{51x}{50}$ So, the present number of trees $=\frac{51x}{50}+\frac{2}{100}×\frac{51x}{50}$ $=\frac{51x}{50}+\frac{51x}{2500}=\frac{2550x+51x}{2500} =\frac{2601x}{2500}$ According to the question, $\frac{2601x}{2500}=52020$ ⇒ $x=\frac{52020×2500}{2601}$ ⇒ $x=20×2500=50,000$ Hence, the correct answer is 50,000.
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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 : 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 : Cotton was probably grown at Mehrgarh from about __________.
Option 1: 7000 years ago
Option 2: 8000 years ago
Option 3: 6000 years ago
Option 4: 5000 years ago
Question : At a certain rate of interest per annum, compounded annually, a certain sum of money amounts to two times itself in 11 years. In how many years will the sum of money amount to four times itself at the previous rate of interest per annum, also compounded annually?
Option 1: 20 years
Option 2: 5.5 years
Option 3: 22 years
Option 4: 33 years
Question : 4 years ago, the age of Garvit was three times that of Yuvansh, but one year ago the age of Garvit was two times that of Yuvansh. What is the difference between the ages of Garvit and Yuvansh?
Option 1: 13 years
Option 2: 11 years
Option 3: 7 years
Option 4: 6 years
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