Question

Ramkali required Rs.$2500$ after $12$ weeks to send her daughter to school. She saved Rs. $100$ in the first week and increased her weekly savings by Rs. $20$ every week. Find whether she will be able to send her daughter to school after $12$ weeks.What value is generated in the above situation?

Answer 1

Money required$\Rightarrow$ Rs. $2500$

in $12$ weeks.

She has $100$Rs. as first save.

Every week increases by Rs. $20$

$S_n=\frac{n}{2}[2a+(n-1\left)d\right]$

$a=100$

$n=12$

$d=20$

$\therefore S_n=\frac{12}{2}\left[\right(2\times 100)+(12-1)\times 20]$

$\Rightarrow 6(200+220)$

$\Rightarrow 6\left(420\right)$

$\Rightarrow 2520$

$\therefore$ She will have $2520$ Rs. after $12$ week

Yes she will be able to send her daughter to school.