The population of a city increases for every consecutive years and dec

1.	The population of a city increases for every consecutive years and decreases third year 12% and 10 % respectively again next two years it increases then decreases in the same way. Taking 2006 what will be approximate effect in 20121. 27% decrease2. 27% increases3. 40% increases4. 35% increases5. None of these
Answer» Correct Answer - Option 2 : 27% increases Let the population of a city 2006 be x The population of city after two years 12% increases every year = x × 112/100 × 112/100 ⇒ 1.2544x The population decreases by 10% = 1.2544x × 90/100 ⇒ 1.128x The population increases 12% in the year 2011 = 1.128x × 112/100× 112/100 ⇒ 1.414x The population decreses 2012 10% decreases = 1.414x × 0.9 ⇒ 1.272 ∴ The percentage change approximately = 27.2%

The population of a city increases for every consecutive years and decreases third year 12% and 10 % respectively again next two years it increases then decreases in the same way. Taking 2006 what will be approximate effect in 20121. 27% decrease2. 27% increases3. 40% increases4. 35% increases5. None of these

Answer» Correct Answer - Option 2 : 27% increases

Let the population of a city 2006 be x

The population of city after two years 12% increases every year = x × 112/100 × 112/100

⇒ 1.2544x

The population decreases by 10% = 1.2544x × 90/100

⇒ 1.128x

The population increases 12% in the year 2011 = 1.128x × 112/100× 112/100

⇒ 1.414x

The population decreses 2012 10% decreases = 1.414x × 0.9

⇒ 1.272

∴ The percentage change approximately = 27.2%

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