Question

A sum of ₹ x is lent for simple interest at 9.5 % per annum for 4 years. What is the total

amount?​

Answer 1

Answer:

Rs. 20,160

Step-by-step explanation:

Answer 2

Answer:

The total amount is ₹ 1.38 times the principle.

Step-by-step-explanation:

We have given that,

Principle sum ( P ) = ₹ x

Rate of interest ( R ) = 9.5 %

Time period ( N ) = 4 years

We have to find the total amount for simple interest.

Now, we know that,

Amount = Principle + Simple Interest

$\displaystyle{\implies\sf\:A\:=\:P\:+\:S.\:I.}$

$\displaystyle{\implies\sf\:A\:=\:P\:+\:\dfrac{P\:\times\:R\:\times\:N}{100}}$

$\displaystyle{\implies\sf\:A\:=\:P\:\left(\:1\:+\:\dfrac{R\:N}{100}\:\right)}$

$\displaystyle{\implies\sf\:A\:=\:x\:\left(\:1\:+\:\dfrac{9.5\:\times\:\cancel{4}}{\cancel{100}}\:\right)}$

$\displaystyle{\implies\sf\:A\:=\:x\:\left(\:1\:+\:\dfrac{9.5\:\times\:10}{25\:\times\:10}\:\right)}$

$\displaystyle{\implies\sf\:A\:=\:x\:\left(\:1\:+\:\dfrac{\cancel{95}}{\cancel{250}}\:\right)}$

$\displaystyle{\implies\sf\:A\:=\:x\:\left(\:1\:+\:\dfrac{19}{50}\:\right)}$

$\displaystyle{\implies\sf\:A\:=\:x\:\left(\:\dfrac{50\:+\:19}{50}\:\right)}$

$\displaystyle{\implies\sf\:A\:=\:x\:\times\:\cancel{\dfrac{69}{50}}}$

$\displaystyle{\implies\sf\:A\:=\:x\:\times\:\cancel{\dfrac{13.8}{10}}}$

$\displaystyle{\implies\sf\:A\:=\:x\:\times\:1.38}$

$\displaystyle{\implies\sf\:A\:=\:1.38\:x}$

$\displaystyle{\implies\underline{\boxed{\red{\sf\:Amount\:=\:Rs.\:1.38\:x\:}}}}$

∴ The total amount is ₹ 1.38 times the principle.