Home
Class 12
MATHS
In the 2001 census, the population of In...

In the 2001 census, the population of India was found to be `8. 7x10^7dot` If the population increases at the rate of 2.5% every year, what would be the population in 2011?

Text Solution

Verified by Experts

Here, ` P_(0) = 8.7 xx 10^(7), r = 2.5, and n = 10`.
Let P be the population in 2011. Then,
`p=P_(0)(1+r/100)^(n)`
` = 8.7 xx 10^(7) (1+(2.5)/(100))^(10)`
` = 8.7 xx 10^(7) (1.025)^(10)`
Taking log of both sides, we get
` log P = log [ 8.7 xx 10^(7)(1.025)^(10)]`
` = log 8.7 + log 10^(7) + log (1.025)^(10)`
` = log 8.7 + 7 log 10+10 log (1.025)`
` = 0.9395 + 7 + 0.1070`
` = 8.0465`
` rArr P =" antilog "(8.0465) = 1.113 xx 10^(8) ` ( using antilog table)
Promotional Banner

Topper's Solved these Questions

  • LOGARITHM AND ITS PROPERTIES

    CENGAGE|Exercise Exercise 1.1|6 Videos

  • LOGARITHM AND ITS PROPERTIES

    CENGAGE|Exercise Exercise 1.2|9 Videos

  • LOGARITHM AND ITS APPLICATIONS

    CENGAGE|Exercise Subjective Type|9 Videos

  • MATHMETICAL REASONING

    CENGAGE|Exercise JEE Previous Year|10 Videos

Similar Questions

Explore conceptually related problems

In the 2001 census, the population of India was found to be 8. 7 * 10^7dot If the population increases at the rate of 2.5% every year, what would be the population in 2011?

A population grows at the rate of 2% per year. How long does it take for the population to double?

If a population of 50 Paramecium present in a pool increases to 150 after an hour, what would be the growth rate of population ?

The total population in India alarmingly increased to 1 billion according to 2001 census. The population growth rate was still around 1.7% a rate at which our population could double in 33 years. Cite the probable reasons for such an increase in population growth rate.

The population P in any year t is such that the rate of increase in the population is proportional to the population. Then