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What will Rs 500 amounts to in 10 years after its deposit in a bank which pays annual interest rate of 10% compounded annually? - Mathematics

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Question

What will Rs 500 amounts to in 10 years after its deposit in a bank which pays annual interest rate of 10% compounded annually?

Sum

Solution

The amount deposited in the bank is 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`

∵ ` [A = P(1 + r/100)^n]`

∴ 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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Chapter 9: Sequences and Series - Exercise 9.3 [Page 193]

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NCERT Mathematics [English] Class 11
Chapter 9 Sequences and Series
Exercise 9.3 | Q 31 | Page 193

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