Math, asked by shashiy2441998, 1 year ago

the population of a town increases 5% for first year and 4% in the second year find the population at end of 2 years if the population was 360000 at beginning of first year

Answers

Answered by Anonymous

189

AnswEr :

$\frak{Given}\begin{cases}\tt{Old \:Population = 360000}\\\tt{First\:Year=5\%}\\ \tt{Second\:Year=4\%}\\\tt{New\: Population\:at \:the \:end \:of\:2\:years.} \end{cases}$

$\rule{150}{1}$

$\underline{\bigstar\:\textsf{According to the Question Now :}}$

$:\implies\sf New\:Population = Old\: Population \times (100+Increase)\% \times (100+Increase)\%\\\\\\:\implies\sf New\:Population = 360,000\times (100+5)\% \times (100+4)\%\\\\\\:\implies\sf New\:Population =360,000 \times 105\% \times 104\%\\\\\\:\implies\sf New\:Population =360,000 \times \dfrac{105}{100} \times \dfrac{104}{100}\\\\\\:\implies\sf New\:Population =36\times105 \times 104\\\\\\:\implies\sf New\:Population =36 \times 10,920\\\\\\:\implies\boxed{\textsf{New\:Population =\textbf{393,120}}}$

⠀

$\therefore\:\underline{\textsf{Population at the end of 2 years is \textbf{393,120.}}}$

$\rule{300}{2}$

$\boxed{\begin{minipage}{7 cm}\underline{\text{Some Important Formulae Related to it :}}\\ \\\sf Increase = Old Population\times(100+\sf Increase)\%\\ \\Decrease=Old \:Population\times(100-Decrease\%)\end{minipage}}$

Answered by GLAmorOUS

34

$<body bgcolor=b>$

$\huge\mathbb\pink{GLAmorOUS..!!}$

$<font color=white>$

Given values :-

♥️ Population in first year = 3,60,000

♥️ Population ↑ in first year = 5%

♥️ Population ↑ in second year = 4%

♥️ Population at the end of 2 years = ?

⭐ New population = old population × ( 100 + ↑ population in 1st year )% × ( 100 + ↑ population in 2nd year )%

⭐New population = 3,60,000 × ( 100 + 5 )% × ( 100 + 4 )%

⭐New population = 3,60,000 × 105% × 104%

⭐New population = 3,60,000 × 105 / 100 × 104 / 100

⭐New population = 36 × 105 × 104

⭐New population = 36 × 10,920

$\huge{\boxed{\mathfrak\pink{\fcolorbox{red}{lightgreen}{New\:population\:=\:3,93,120}}}}$

:. At the end of 2 years = 3,93,120 population

$<marquee>GLAmorOUS</marquee>$

Previous Question

Next Question

Similar questions

English, 6 months ago

Your colony is constructing a new building in place of a park. Write a report, in about 100-120 words, for the daily newspaper, about the problems the residents of your colony will face. In your report, you must talk about: 1.how it will block sunshine. 2.how many trees will be felled. 3.how the elderly people will be affected. Whoever gives the right answer first. I will mark him Brainlist.

English, 6 months ago

'describe the characters as presented at the beginning of the play ?'from the chapter trifles...

Math, 6 months ago

Salma took a loan of Rs. 625/- from the Mahila Samiti to purchase a sewing machine. If the rate of interest be 8% calculated annually, then how much money would salma return to the samiti after 2 years.

Science, 1 year ago

why is aeration of sludge important...

English, 1 year ago

are / Physical Fitness Trail/Rose garden/and/Fragrance garden/ worth a visit /its...

Physics, 1 year ago

Important numericals for class 11 physics.

Science, 1 year ago

in the following cases state whether work is done or not justify your answer :- i)a student reads a book. ii)the revolution of earth around the sun.

English, 1 year ago

people respect louis Braille because he invented an alphabet for blind people. is there any grammars mistake...