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
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B
3100
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C
2900
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D
3400
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Solution

## The correct option is A 2986Given 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 =1000×120100×120100×120100×120100×120100×120100 Number of children at the end of the year 2018 =1000×1.2×1.2×1.2×1.2×1.2×1.2 =2986 (rounded off value)

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