Maths-
General
Easy

Question

The present population of a town is 200000. Its population increases by 10% in the first year and 15% in the second year. Find the population of the town at the end of the two years.

Hint:

Use the formula of total amount  to find the total population at the end of 2 years.

The correct answer is: 253000


    Complete step by step solution:
    Present population of the town P = 200000,
    We calculate the total population at the end of first year by the formula A equals P open parentheses 1 plus R over 100 close parentheses to the power of T…(i)
    Here, we have T = 1 years, P = 200000 ,R = 10% and A = ?
    On substituting the known values in (i), we get A equals 200000 open parentheses 1 plus 10 over 100 close parentheses to the power of 1
    not stretchy rightwards double arrow A equals 220000
    Hence total population at the end of first year = 220000
    So the new population is 220000
    Now the formula to find total population at the end of two years = A equals P open parentheses 1 plus R over 100 close parentheses to the power of T …(ii)
    Here, we have T = 1 years, P = 220000 , R = 15%(increases) and A = ?
    On substituting the known values in (ii), we get A equals 220000 open parentheses 1 plus 15 over 100 close parentheses to the power of 1
    not stretchy rightwards double arrow A equals 220000 cross times 1.15 equals 253000
    Hence total population at the end of second year = 253000

    Related Questions to study

    card img

    With Turito Academy.

    card img

    With Turito Foundation.

    card img

    Get an Expert Advice From Turito.

    Turito Academy

    card img

    With Turito Academy.

    Test Prep

    card img

    With Turito Foundation.