Question

if the sum of rs 36 at a certain rate of interest and time equal to rate per annum calculates RS 100 as simple interest find the rate of interest and time​

Answer 1

Step-by-step explanation:

$\textbf{\underline{\underline{Given\:In\:Question :}}}$

$\sf \: Principal = Rs 100$

$\sf \: Simple \: Interest = Rs \:36$

$\textbf{\underline{\underline{To\:Find :}}}$

$\tt \: Rate \: And \: Time$

As Given Rate And Time Are Equal

So,

Let them be x

$\textbf{\underline{\underline{According\:To\:Question:}}}$

$\sf \: S.I = \dfrac{P \times R \times T}{100} </p><p>$

$\tt \: Putting \: Values :$

$\sf \: 36= \dfrac{100 \times x \times x}{100}$

$\sf \: 36 = \cancel \dfrac { 100 {x}^{2} }{100}$

$\sf \: {x}^{2} = 36$

$\sf \: x = \sqrt{36}$

$\boxed{\underline{\underline{Time\: = 6\:Years}}}$

$\boxed{\underline{\underline{Rate\: = 6\: \%}}}$

Answer 2

$\huge { \boxed{ \boxed { \red {\ulcorner { \mid{ \overline{ \underline{ \bf{Answer :-}}}}} \mid}}}}$

Question :-

If the sum of rs 36 at a certain rate of interest and time equal to rate per annum calculates RS 100 as simple interest find the rate of interest and time

Solution :-

Principal (p) = 100 Rupees

Simple interest (S. I) = 36

Let the Rate (R) and Time (T) be a.

So,

A. T.Q

We know that,

$\huge { \boxed{ \boxed { \red{ \ \: { \mid{ \overline{ \underline{ \bf{S.I= \frac{P \times R \times T}{100} }}}}} \mid}}}}$

_________________[Put Values]

36 = (100 * a * a) / 100

36 = a²

a² = 36

a = √36

a = (√6)²

a = 6

Hence,

$\huge{\boxed{\blue{\sf{Time = 6 \: years}}}}$

$\huge{\boxed{\blue{\sf{Rate = 6 \%}}}}$