Question

Ramkali required Rs 2,500 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

Since Ramkali increased her weekly savings uniformly every week by a fixed number, her savings will form an AP.
Let $S_n$ be the sum of savings in all 12 weeks.
$\therefore S_n=\frac{n}{2}(2a+(n-1\left)d\right)$ (Here a is the money saved in the first week and d is the fixed increase in teh weekly savings).
$S_n=\frac{12}{2}(2\times 100+(12-1\left)20\right)=Rs.2,520$
Ramkali required Rs 2,500 after 12 weeks, but she saved Rs 2,520. So, she will be able to send her daughter to school after 12 weeks.
It shows that Ramkali is aware of the importance of girl child education.