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  • Kanika was given her pocket money on Jan 1st, 2008. She puts Re 1 on Day 1,Rs 2 on Day 2, Rs 3 on Day 3, and continued doing so till the end of the month, from this money into her piggy bank. She also spent Rs 204 of her pocket money, and found that at th

Kanika was given her pocket money on Jan 1st, 2008. She puts Re 1 on Day 1,Rs 2 on Day 2, Rs 3 on Day 3, and continued doing so till the end of the month, from this money into her piggy bank. She also spent Rs 204 of her pocket money, and found that at the end of the month she still had Rs 100 with her. How much was her pocket money for the month?

Answers (1)

According to the question she puts Rs. 1 on Day 1, 2 on Day 2 and so on. 

\\$Hence 1, 2, 3,$ \ldots $ $ \ldots $ .. , 31\\ where a $= 1\\ d = 2 - 1 = 1 \\ a\textsubscript{n} = 31\\ $Total money she put, $ {{S}_{n}}=\frac{n}{2}\left[ a+{{a}_{n}} \right] \\

\\ \mathrm{S}_{\mathrm{n}}=\frac{31}{2}[1+31] \\\\ \mathrm{S}_{\mathrm{n}}=\frac{31}{2} \times 32 \Rightarrow 31 \times 16=496

Total money = Total she put + Spent + left 

= 496 + 204 + 100 

Total = 800 Rs 

Posted by

infoexpert21

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