Question

If P = 450 Rs. N= 3 years SI = 54 Rs. Then find Rate of interest and amount.​

Answer 1

Answer:

The rate of interest is 4 % and amount is Rs. 504.

Step-by-step-explanation:

We have given that,

For simple interest,

• Principle ( P ) = Rs. 450
• Time period ( N ) = 3 years
• Simple Interest ( SI ) = Rs. 54

We have to find the rate of interest and amount.

Now, we know that,

$\displaystyle{\pink{\sf\:Simple\:interest\:=\:\dfrac{P\:\times\:R\:\times\:N}{100}}}$

$\displaystyle{\implies\sf\:54\:=\:\dfrac{45\cancel{0}\:\times\:3\:\times\:R}{10\cancel{0}}}$

$\displaystyle{\implies\sf\:R\:=\:\dfrac{\cancel{54}\:\times\:10}{\cancel{45}\:\times\:3}}$

$\displaystyle{\implies\sf\:R\:=\:\dfrac{\cancel{6}\:\times\:\cancel{10}}{\cancel{5}\:\times\:\cancel{3}}}$

$\displaystyle{\implies\sf\:R\:=\:2\:\times\:2}$

$\displaystyle{\implies\underline{\boxed{\red{\sf\:R\:=\:4\:\%}}}}$

Now,

Amount = Principle + Simple interest

⇒ Amount = 450 + 54

⇒ Amount = Rs. 504

∴ The rate of interest is 4 % and amount is Rs. 504.