Question

at what rate per annum will the simple interest on rupees 3650 be rupees 1314 after 3 years ​

Answer 1

$\bf \: \underline{Given} \: :$ ↴

$\sf \: Principal : Rs. \: 3650$

$\sf \: Simple \: Interest : Rs. \: 1314$

$\sf \: Time : 3 \: Years$

$\bf \: \underline{ To \: find } \: :$ ↴

$\sf \: We \: have \: to \: find \: the \: rate \: of \: Interest.$

$\bf \red{\star} \: \underline{ So, \: Let's \: Start } \: \red{ \star}$

$\sf \: Formula \: of \: Simple \: Interest \: is \: :$

$\boxed{ \pink{\sf{SI \: = \: \dfrac{P\times R\times T}{100}}}}$

$\bf \: Here,$

$\sf \purple{\bull} \: P \: = \: Principal$

$\sf \purple{\bull} \: Rate \: = \: Rate \: of \: Interest$

$\sf \purple{\bull }\: T \: = \: Time$

$\sf \: \underline{Putting \: the \: values}$

$\longrightarrow \: \sf{1314 \: = \dfrac{3650\times R\times 3}{100}}$

$\longrightarrow \: \sf{1314 \: = \: \dfrac{365\times R\times 3}{10}}$

$\longrightarrow \: \dfrac{1314 \times 10}{365 \times 3 }$

$\longrightarrow \: \dfrac{13140}{1095 }$

$\pink{ \sf \: \longrightarrow \: \underline{Rate \: of \: Interest \: = 12 \: \% }}$

Answer 2

Answer : 12 %

Given:

• Principal = 3650
• Simple interest = 1314
• Time = 3 years

To find :

Rate of Interest.

Formula to be used :

$\sf \: S = \dfrac{P \times R \times T}{100}$

Now,

$\sf \:1314 = \dfrac{3650 \times \: R \times 3}{100}$

So, Rate of Interest = 12 %