Question
Download Solution PDFDuring the first year, the population of a town increased by 12%. The next year, due to some contagious disease, it decreased by 8%. At the end of the second year, the population was 64,400. Find the population of the town at beginning of the first year.
Answer (Detailed Solution Below)
Detailed Solution
Download Solution PDFGiven:
First year increase rate = 12%
Second year decrease rate = 8%
Calculations:
Let the initial population be x.
Then, According to question,
92% of 112% of x = 64,400
⇒ 0.92 × 1.12x = 64,400
⇒ x = 64,400/(0.92×1.12)
⇒ x = 64,400/1.0304
⇒ x = 62,500
Hence, The Required value is 62,500.
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