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3B. वि.स. 2005 का सुरुमा एउटा शहरको जनसङ्ख्या 1,00,000 थियो र जनसङ्ख्या वृद्धिदर वर्षेनी 2% छ । वि.सं. 2066 का सुरुमा 8,000 जना अन्यत्र ठाउँबाट त्यहाँ बसाइँ सरेर आए भने वि.सं. 2068 को सुरुमा सो शहरको जनसङ्ख्या कति पुग्ला ?

In the beginning of BS 2065, the population of a town was 1,00,000, and the rate of population growth is 2% every year. If 8,000 people migrated there from different places in the beginning of BS 2066, what will be the population of the town in the beginning of BS 2068?

[2067 A]

Sagot :

GinnyAnsweridn
To determine the population of the town in the beginning of BS 2068, let's proceed step-by-step considering the given data:

1. Initial Population in BS 2065:
- The population at the beginning was 100,000.

2. Growth Rate:
- The population grows at a rate of 2% per year.

3. Population at the beginning of BS 2066:
- The population at the beginning of BS 2066 can be calculated by increasing the BS 2065 population by 2%.
- Population in BS 2066 = 1,00,000 + (2/100) 1,00,000 = 1,00,000 1.02
- Population in BS 2066 = 1,02,000

4. Migrants in BS 2066:
- At the beginning of BS 2066, 8,000 people migrated to the town.

5. Population at the beginning of BS 2067:
- The increased population at the start of BS 2066 was 1,02,000.
- Including the migrants, the new population will be 1,02,000 + 8,000 = 1,10,000 (New starting population for BS 2067).
- Then calculate the population at BS 2067 by increasing by 2% of 1,10,000:
- Population in BS 2067 = 1,10,000 1.02
- Population in BS 2067 = 1,04,040

6. Population at the beginning of BS 2068:
- Now, calculate the population for the next year:
- Population in BS 2068 without including additional migrants = population in BS 2067 1.02
- Population in BS 2068 without migrants = 1,04,040 * 1.02
- Population in BS 2068 without migrants = 1,06,120.8

7. Final Population at the beginning of BS 2068 including Migrants:
- The population including the migrants who arrived at the beginning of BS 2066:
- Final Population in BS 2068 = population in BS 2068 without migrants + 8,000 migrates who arrived in 2066.
- Final Population in BS 2068 = 1,06,120.8 + 8,000
- Final Population in BS 2068 = 1,14,120.8

Therefore, the population of the town at the beginning of BS 2068 will be 1,14,120.8.
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