Question

in what time will rupees 8000 amount to rupees 8820 at 5% per annum compounded anually​

Answer 1

$\underline{\bold{Given:-}}$

Principal = 8000 rupees

Compound interest = 5% per annum

$\underline{\bold{Solution:-}}$

Let, it will take x years to amount to 8820 rupees.

Amount = 8820 rupees

$P {(1 + \frac{5}{100}) }^{n} = 8820 \\ \\ 8000 {( \frac{105}{100} )}^{n} = 8820 \\ \\ {( \frac{21}{20} )}^{n } = \frac{8820}{8000}$

${(1.05)}^{n} = 1.025 \\ \\ {(1.05)}^{n} ={(1.05)}^{2} \\ \\ On \: comparing \: there \: powers \\ \\ n = 2$

So, in 2 years the amount will become 8820 rupees.

Answer 2

Answer:

Given :

principal = 8000 ₹

compound interest = 5% p.a.

Solution:-

let it will make take x yrs to amount to 8820 ₹

Amount = 8820₹

p(1+5÷100)^n= 8820

8000(105÷100)^n= 8820

(21÷20)^n=8820÷8000

(1.05)^n = 1.025

(1.05)^n = 1.05)^2

on comparing there powers

n = 2

so in the 2 yrs the amount will be become ₹8820.

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hope it's helpful to you

thnku !! ✨