The population of a particular area of a city is $5000$ . It increases by $10 %$ in $1^{s t}$ year. It decreases by $20 %$ in the $2^{n d}$ year because of some reason. In the $3^{r d}$ year, the population increases by $30 %$ . What will be the population of area at the end of $3$ years?

5120

No worries! We‘ve got your back. Try BYJU‘S free classes today!

5300

No worries! We‘ve got your back. Try BYJU‘S free classes today!

5720

Right on! Give the BNAT exam to get a 100% scholarship for BYJUS courses

5620

No worries! We‘ve got your back. Try BYJU‘S free classes today!

Open in App

Solution

The correct option is C $5720$
Population of a city at the starting of first year $= 5000$
It increases by $10 %$ in $1^{s t}$ year.
i.e., Population at the end of $1^{s t}$ year $=$ Population at the starting of $2^{n d}$ year
$= 5000 + 10 % o f 5000 = 5000 + \frac{10}{100} \times 5000 = 5500$
It decreases by $20 %$ in $2^{n d}$ year.
i.e., Population at the end of $2^{n d}$ year $=$ Population at the starting of $3^{r d}$ year
$= 5500 - 20 % o f 5500 = 5500 - \frac{20}{100} \times 5500 = 5500 - 1100 = 4400$
It increases by $30 %$ in $3^{r d}$ year.
i.e., Population at the end of $3^{r d}$ year
$= 4400 + 30 % o f 4400 = 4400 + \frac{30}{100} \times 4400 = 4400 + 1320 = 5720$

So, $C$ is the correct option.

Suggest Corrections

Similar questions

The population of a city grows by 10% in first two years, decreases by 10% in the next one year and again increases by 10% in the next two years. If the original count of the population is 70000, what is the population count at the end of 5 years(approximately)?

Q. The present population of a city is 8000 if it increases by

10 %

during the first year and by

20 %

during the second year , then population after two years will be

Q. The population of a village is 10000. If the population increases by 10% in the first year, by 20% in the second year, and due to mass exodus, it decreases by 5% in the third year, what will be its population after 3 years ?

The population of a city increases by 10% every 5 years. If the population of the city in the year 1990 is 1,34,310. What was the population in the year 1980?

Q. In one year, the population of a village increased by 10% and on the next year, it decreased by 10%. If the end of the 2nd year, the population was 7920, what was it in the beginning?

Join BYJU'S Learning Program

The population of a particular area of a city is 5000. It increases by 10% in 1st year. It decreases by 20% in the 2nd year because of some reason. In the 3rd year, the population increases by 30%. What will be the population of area at the end of 3 years?

The population of a particular area of a city is $5000$ . It increases by $10 %$ in $1^{s t}$ year. It decreases by $20 %$ in the $2^{n d}$ year because of some reason. In the $3^{r d}$ year, the population increases by $30 %$ . What will be the population of area at the end of $3$ years?