Question

In data collected on the birth rate of children in a village, it was found that the birth of children increased by 20% after every 6 months. Calculate the number of children at the end of the year 2018, if the number of children in the year 2015 was 1000.

• A. 2986
• B. 3100
• C. 2900
• D. 3400

Answer 1

The correct option is A 2986

Given
The number of children born in the year 2015 (P) = 1000
Rate of childbirth (r) = 20% every six months

Since the birth rate increases after every six months, there will be six conversion periods in three years.

So, n = 6

Number of children at the end of the year 2018 $=1000\times \frac{120}{100}\times \frac{120}{100}\times \frac{120}{100}\times \frac{120}{100}\times \frac{120}{100}\times \frac{120}{100}$
Number of children at the end of the year 2018 $=1000\times 1.2\times 1.2\times 1.2\times 1.2\times 1.2\times 1.2$
$=2986$ (rounded off value)