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MAT Exam 2023 Paper

Question : 111 of 200

Marks: +1, -0

Solution:

Concept:

Population grows by the same annual compounding factor each year.

Explanation:

Population 3 years ago

= 3600

Population now

= 4800

Let the annual growth factor be

(1 + r)

So,

(1 + r)^3 = \frac{4800}{3600} = \frac{4}{3}

Three years from now means 6 years from the initial time.

Therefore, growth factor for 6 years is

(1 + r)^6 = \left(\frac{4}{3}\right)^2 = \frac{16}{9}

Future population

= 3600 \times \frac{16}{9} = 6400

Answer:

The population three years down the line will be

6400

Correct option: B.

6{,}400

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