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Q:

यदि एक शहर की वर्तमान जनसंख्या 12,000 है और जनसंख्या में प्रतिवर्ष 10% की दर से वृद्धि हो रही है, तो 3 वर्ष बाद उस शहर की जनसंख्या कितनी होगी?

  • 1
    15,972
  • 2
    12,200
  • 3
    11,200
  • 4
    10,200
  • Show Answer
  • Workspace

Answer : 1. "15,972"
Explanation :

To find the population after 3 years given that it increases at a rate of 10% per annum, you can use the formula for exponential growth:

𝑃=𝑃0×(1+𝑟)𝑛P=P0×(1+r)n

Where:

  • 𝑃P = Population after 𝑛n years
  • 𝑃0P0 = Initial population
  • 𝑟r = Rate of increase (in decimal form)
  • 𝑛n = Number of years

Given:

  • 𝑃0=12,000P0=12,000 (Initial population)
  • 𝑟=0.10r=0.10 (10% increase per annum)
  • 𝑛=3n=3 (Number of years)

Substitute these values into the formula:

𝑃=12,000×(1+0.10)3P=12,000×(1+0.10)3

𝑃=12,000×(1.10)3P=12,000×(1.10)3

𝑃=12,000×(1.331)P=12,000×(1.331)

𝑃=15,972P=15,972

So, the population after 3 years would be approximately 15,972.


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