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In What Time Will Rs 15625 Amount to Rs 17576 at 4% P.A. Compound Interest?

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Question

In what time will Rs 15625 amount to Rs 17576 at 4% p.a. compound interest?

Sum
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Solution

Here P = Rs.15625, A = 17576, r = 4%

Now, `"P"(1 + "r"/100)^"t"` = A

⇒ `15625(1 + 4/100)^"t"`

= 17576

⇒ `(26/25)^"t"`

= `(17576)/(15625)`

= `(26/25)^3`
By comparing powers, t = 3
Hence time is 3 years.

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Concept of Compound Interest - When the Time is Not an Exact Number of Years and the Interest is Compounded Yearly
  Is there an error in this question or solution?
Chapter 2: Compound Interest - Exercise 3.2

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Frank Mathematics Part 1 [English] Class 9 ICSE
Chapter 2 Compound Interest
Exercise 3.2 | Q 8
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