The present population is 13,310. If the population be 17,280 after 3 years, what will be the rate of increase?
WBBSE
Class X
Mathematics
Compound Interest
02 Mark
2022
Future population (V) = 17,280
Initial population (Vo) = 13,310
rate (r) = r %
Time (n) = 3 years
A = P × (1 + r/100)n
or, 17,280 = 13,310 × (1 + r/100)³
or, 17280\over 13310 = (1 + r/100)³
or, 1728\over 1331 = (1 + r/100)³
or, (12\over 11)³ = (1 + r/100)³
or, 1 + r/100 = 12\over 11
or, r/100 = 12\over 11 – 1
or, r = 1\over 11 × 100 = 9 1\over 11 %
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