25000 blood donors were registered with Red Cross in a city. The number of donors increased at the rate of 10% every 6 months. Find the total time (in years) at the end of which the total number of blood donors becomes 33275.

Given,

Initial donors = 25000

Final donors = 33275

Let the number of 6-month periods be k.

Since the number of donors increases at the rate of 10% every 6 months, we get the following equation

$$\dfrac{\ 33275}{25000}=\left(1.1\right)^k\ \ $$

$$1.331=\left(1.1\right)^k\ \ $$

k = 3

So, we get 3 periods of 6 months, which is equal to 1.5 years.

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