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The rabbit population in community A increases at 25% per year while that in community B increases at 50% per year. If the present populations of A and B are equal, what will be the ratio of the number of rabbits in community B to that in community A after 2 years ?
Explanation
Let the initial population of both communities be P. The population after n years with a growth rate r is calculated using the compound growth formula: Pn = P(1 + r/100)n.
- For Community A (r = 25%, n = 2):
A2 = P(1 + 25/100)2 = P(1.25)2 = 1.5625P - For Community B (r = 50%, n = 2):
B2 = P(1 + 50/100)2 = P(1.50)2 = 2.25P
The required ratio of the number of rabbits in community B to community A after 2 years is:
Ratio = B2 / A2 = 2.25P / 1.5625P = 1.44
The calculated ratio of 1.44 corresponds to option A (noted as 1-44).
SIMILAR QUESTIONS
The following figure shows the proportion of the population for four years in various age groups in percentage .Based on the information provided identify the state of dependency ratio from 1971 to 2001
1971 | 1981 | 1991 | 2001
0-14 years | 4.2.03 | 3.5.57 | 3.7.46 | 3.5.44
15-29 years | 2.3.97 | 2.5.9 | 2.6.71 | 2.6.65
30-64 years | 2.8.03 | 2.8.04 | 2.9.03 | 3.0.44
65 years and above | 5.97 | 6.49 | 6.8 | 7.47
What would be the total population at the end of the year if population at the beginning of the year is 5000 and population changed during the year is—birth 250, death 60, immigration 30 and emigration 15?
A city has a population of 3,00,000 out of which 1,80,000 are males. 50% of the population is literate. If 70% of the males are literate, the number of literate females is
The demographic dividend is