Question

24,000 blood donors were registered with a charitable hospital. The number of donors
increased at the rate of 5% every six month. Find the total number of blood donors
after 1 year​

Answer 1

➤ Given :-

Number of Registered people :- 24000

Percent of incresion (6 months) :- 5%

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➤ To Find :-

The total blood donors after one year.

$\:$

★ How to do :-

Here, we are given with the total number of people registered for the donation of blood and the number of donors increased at the rate of 5% in 6 months. We are asked to find the total number of donors after a time of one year. So, first we should find the total rate of incresion in a whole year by multiplying the rate of six months and a year. Then, we should find the value of the increased people by finding the percentage value of the total number of donors before. So, let's solve!!

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➤ Solution :-

Percent of incresion in one year :-

${\tt \leadsto 5 \times 2}$

${\tt \leadsto 10 \bf\%}$

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So, the percent of increased people in donation in a year is 10%. So, now find the value of increased people.

Value of increased people :-

${\tt \leadsto 10 \bf\% \tt \: \: of \: \: 24000}$

Replace 'of' with multiplication symbol and convert the percentage to fraction form.

${\tt \leadsto \dfrac{10}{100} \times 24000}$

Simplify the fraction by cancellation method.

${\tt \leadsto \cancel \dfrac{10}{100} \times 24000 = \dfrac{1}{10} \times 24000}$

Multiply the remaining numbers.

${\tt \leadsto \dfrac{1 \times 24000}{10}}$

Simplify it further.

${\tt \leadsto \cancel \dfrac{24000}{10} = 2400}$

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Now, find the total number of people by adding the before population and the extra population.

${\tt \leadsto 2400 + 24000}$

${\tt \leadsto \boxed{\tt 26400 \: \: people}}$

$\Huge\therefore$ The total number of donators after a year is 26400.