Question

At what rate per annum will 5400 amount to 6858 in 3 years.

Answer 1

Step-by-step explanation:

SI= Rs. (6858-5400)= Rs. 1458

So, Rate of interest = SI *100 / P*T

= 1458*100 / 5400*3

= 9% p.a. (Ans.)

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Answer 2

Given:

Principal amount ($P$) = Rs: $5400$

Time period ($N$) = $3$ years

Amount along with interest ($A$) = Rs: $6858$

To find:

The rate of interest ($R$)

Formula:

$Simple\;interest\;=\;\frac{P\times N\times R}{100}$

$Interest\;=\;Amount\;-\;Principal$

Step-by-step explanation:

$Interest\;=\;6858\;-\;5400$

$Interest\;=\;Rs:\;1458$

$R\%\;=\;\frac{SI\;\times\;100}{P\times N}$

$R\%\;=\;\frac{1458\;\times\;100}{5400\times3}$

$R\%\;=\;\frac{145800}{16200}$

$R\;=\;9\%$

Answer:

The rate of interest is $9\%$