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Question

The population of a village was 2,90,000. It increased by 5% in the first year and increased by 30% in the second year. Its population after two years is _______.

The correct answer is
3,95,850

Initial Village Population

The starting population of the village is given as 2,90,000.

Population Increase in the First Year

The population increased by 5% in the first year.

  • Calculate the increase amount:

    Increase = Initial Population $\times$ Percentage Increase

    Increase = $2,90,000 \times \frac{5}{100}$

    Increase = $2,900 \times 5 = 14,500$

  • Calculate the population after the first year:

    Population (Year 1) = Initial Population + Increase

    Population (Year 1) = $2,90,000 + 14,500 = 3,04,500$

Population Increase in the Second Year

The population further increased by 30% in the second year, based on the population at the end of the first year.

  • Calculate the increase amount for the second year:

    Increase = Population (Year 1) $\times$ Percentage Increase

    Increase = $3,04,500 \times \frac{30}{100}$

    Increase = $3,045 \times 30 = 91,350$

  • Calculate the final population after the second year:

    Population (Year 2) = Population (Year 1) + Increase

    Population (Year 2) = $3,04,500 + 91,350 = 3,95,850$

Final Population Calculation

The population of the village after two years is 3,95,850.

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Important Questions from Percentage

  1. Radha saves 25% of her income. If her expenditure increases by 20% and her income increases by 29%, then her savings increase by;

  2. The income of A is 45% more than the income of B and the income of C is 60% less than the sum of the incomes of A and B. The income of D is 20% more than that of C. If the difference between the incomes of B and D is Rs. 13200, then the income (in Rs.) of C is:

  3. The price of cooking oil increased by 25%. Find by how much percentage a family must reduce its consumption in order to maintain the same budget.

  4. The population of a city increased by 30% in the first year and decreased by 15% in the next year. If the present population is 11,050 then population 2 years ago was:

  5. The income of A is 30% less than the income of B and the income of B is 137.5% more than that of C. If the income of A is Rs. 28500 less than that of B, then the income (in Rs.) of C is:

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