Question

At what rate percent per annum will rs.4500 amount to rs. 5715 in 3 years.

Answer 1

principal amount= rs 4500

compound amount =rs 5715

time= 3 years

Simple interest=(P.A×time× rate)/100

Rs 5715 --Rs 4500=(4500×3×rate)/10 1215×100=13500×rate

rate=1215×100

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13500

=9%

Answer 2

The rate percent per annum is 8.2%.

Step-by-step explanation:

To find : At what rate percent per annum will Rs.4500 amount to Rs. 5715 in 3 years ?

Solution :

Using amount formula,

$A=P(1+\frac{r}{100})^t$

Where, A is the amount A=Rs.5715

P is the principal P=Rs.4500

Time t=3 years

r is the interest rate

Substitute the value in the formula,

$5715=4500(1+\frac{r}{100})^3$

$\frac{5715}{4500}=(1+\frac{r}{100})^3$

$1.27=(1+\frac{r}{100})^3$

Taking cube root both side,

$\sqrt[3]{1.27}=1+\frac{r}{100}$

$1.082=1+\frac{r}{100}$

$1.082-1=\frac{r}{100}$

$r=0.082\times 100$

$r=8.2\%$

Therefore, the rate percent per annum is 8.2%.

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