NCERT Class XI Mathematics - Sequences and Series - Solutions

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Question : 65
Total: 106
What will Rs. 500 amounts to in 10 years after its deposit in a bank which pays annual interest rate of 10% compounded annually?
Solution:  
We have, Principal value = Rs. 500
Interest rate = 10% annually
∴ Amounts at the end of successive years form the G.P.
Rs. 500 (1+
10
100
)
, Rs. 500 (1+
10
100
)
2
, Rs. 500 (1+
10
100
)
3
, ...
∴ Amount paid by bank after 10 years will be
A = Rs. 500 (1+
10
100
)
10
= Rs. 500 (1.1)10
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