Question

Simple interest of Rs 500 at the rate of 5% is Rs 100. This interest is of the time .



1 year

4 years

10 years​

Answer 1

Answer:

Hello mate,

Step-by-step explanation:

Answer : 10 years

Answer 2

$\large\sf\underline{Given\::}$

• Principal = Rs 500

• Rate = 5%

• Simple Interest = Rs 100

‎

‎

$\large\sf\underline{To\:find\::}$

• Time duration for which SI on principal Rs 500 becomes Rs 100

‎

‎

$\large\sf\underline{Understanding\:the\:question\::}$

Here in the question we are given Principal as Rs 500 , Simple interest as Rs 100 and Rate as 5% . We are asked to find duration for which SI on principal Rs 500 becomes Rs 100 . So we can solve this problem by using simple formula for time. Let's begin !

‎

‎

$\large\sf\underline{Solution\::}$

We know,

$\small{\underline{\boxed{\mathrm\pink{Time=\frac{SI \times 100}{Principal \times Rate}}}}}$

where,

• SI = Simple interest

• P = Principal

• R = Rate

Let's substitute the given values in the formula of time

$\sf\implies\:Time\:=\:\frac{100 \times 100}{500 \times 5}$

$\sf\implies\:Time\:=\:\frac{10000}{2500}$

$\sf\implies\:Time\:=\:\frac{100\cancel{00}}{25\cancel{00}}$

$\sf\implies\:Time\:=\:\frac{100}{25}$

$\sf\implies\:Time\:=\:\cancel{\frac{100}{25}}=4$

$\large{\mathfrak\purple{\implies\:Time\:=\:4\:yrs}}$

$\dag\:\underline{\sf So\:correct\:option\:is\:(b)\:=4\:yrs}$

________________________

‎

‎

${\sf{{\orange{Some\:more\:Formula\::}}}}$

• $\sf\:Principal=\frac{SI \times 100}{Rate \times Time}$

• $\sf\:Simple\:Interest=\frac{P \times R \times T}{100}$

• $\sf\:Rate=\frac{SI \times 100}{Principal \times Time}$

• $\sf\:Time=\frac{SI \times 100}{Principal \times Rate}$

‎

‎

________________________

!! Hope it helps !!