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If the population of a town increases by 25% in the first year and increases by 36% in the second year, then what is the average rate (in percentage)of increase in the population?
- A26
- B30.5
- C31.66
- D35
Answer not set
Discussion 1
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CCommunity
Let the initial population of town be 100.
Population after first year = 100 + 25% of 100 = 100 + 25 = 125
Population after second year = 125 + 36% of 125 = 125 + 45 = 170
Total increment = (170 – 100)/100 = 7/10
∴ Average rate of increase (in %) = (1/2) × (7/10) × 100 = 35%
Population after first year = 100 + 25% of 100 = 100 + 25 = 125
Population after second year = 125 + 36% of 125 = 125 + 45 = 170
Total increment = (170 – 100)/100 = 7/10
∴ Average rate of increase (in %) = (1/2) × (7/10) × 100 = 35%