Question

rs 3650 for 2 years 6 months at 16% per annum ​

Answer 1

$\underline{\bold{Given\:in\:the\:question}}$

Principle = Rs.3650

Time = 2 years 6 months

=2.5 years.

Rate = 16% p.a.

$\bold{we\:know\:that}$

$\boxed{\bold{SI = \dfrac{P\times R\times T}{100}}}$

$\bold{according\:to\:the\:question}$

$\implies\bold{SI = \dfrac{3650\times 16\times 2.5}{100}}$

$\implies\bold{\dfrac{73\times 16\times 2.5}{2}}$

$\implies\bold{73\times 8\times 2.5}$

$\implies\bold{1460}$

$\bold{we\:know\:that}$

$\boxed{\bold{Amount = SI + Principle}}$

$\implies{1460 + 3650 = Rs.5110}$

$\boxed{\bold{Amount =Rs.5110}}$

Answer 2

$\sf\underline{Step-by-step \: explanation}$

Given,

P = Rs. 3650

R = 16 %

T = 2 years 6 months = 2.5 years [It was important to convert it into points]

To find,

Amount.

A = SI + P

A = x + Rs. 3650

To find the amount, it is essential to find S.I. i.e. value of x

$\mathrm{Method \: :}$

$\frac{prt}{100}$

$\mathrm{Solving \: ,}$

$\frac{3650 \: \times \: 16 \: \times \: 2.5}{100}$

After Cancellation...

Rs. 1460

Now finding the amount,

A = P + S.I.

A = Rs. 3650 + Rs. 1460

A = Rs. 5110

Hence, the amount is,

$\huge\underline{Rs. \: 5110}$