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Question

The population of a certain town increases by 50 percent every 50 years. If the population in 1950 was 810, in what year was the population 160?

A
1650
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B
1700
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C
1750
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D
1800
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E
1850
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Solution

The correct option is C 1750
Increased by 50%= 1.5 times
160×1.5n=810
where,
n=number of 50 years period
1.5n=8116
(32)n=8116=(32)4
So,
n=4
So there will 4 50years period which means in year =1950(4×50)=1950200=1750 population was 160


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