question_answer

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 saving 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:

Money required by Ramkali \[=Rs.\text{ }2500\]

We have, \[a=100,\text{ }d=20\]and \[n=12\]

\[\therefore \] A.P. formed is 100, 120, 140 ........... up to 12 terms.

Sum of money after 12 weeks

\[{{S}_{12}}=\frac{12}{2}[2\times 100+(12-1)20]\]

\[=6[200+11\times 20]=6(200+220)\]

\[=6\times 420=Rs.\,2520\]

Hence, Ramkali will be able to send her daughter to school after 12 weeks.

Value: Many a little makes a mickle.