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In What Time Will Rs 50,000 Yield an Interest of Rs 32,151.60 at 18% per Annum Interest Compounded Annually? - Mathematics

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Question

In what time will Rs 50,000 yield an interest of Rs 32,151.60 at 18% per annum interest compounded annually?

Sum

Solution

P =Rs 50,000 ; A= Rs (50,000 + 32,151.60) =Rs 82,151.60 ; r = 18% ; t = ?

`"A" = "P" (1 + "r"/100)^"n"`

Rs 72,151.60 = Rs 50,000 `(1 + 18/100)^"n"`

`82151.60/50000 = (1 + 18/100)^"n"`

`8215160/(50000 xx 100) = (1 + 18/100)^"n"`

`205379/125000 = (1 + 18/100)^"n"`

`(59)^3/(50)^3 = (59/50)^"n"`

t = 3

T = 3 years

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Chapter 1: Compound Interest - Exercise 1.6 [Page 20]

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Frank Mathematics - Part 2 [English] Class 10 ICSE
Chapter 1 Compound Interest
Exercise 1.6 | Q 19 | Page 20
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