Question

simple interest on Rs. 500 at the rate of 10% is Rs. 100. Then time is​

Answer 1

Given :

• Simple Interest on Rs. 500 at the rate of 10% is Rs. 100 .

To Find :

• Time .

Solution :

$\longmapsto\tt{Simple\:Interest(S.I)=Rs.100}$

$\longmapsto\tt{Rate\:of\:Interest(R)=10\%}$

$\longmapsto\tt{Principal(P)=Rs.500}$

Using Formula :

$\longmapsto\tt\boxed{Simple\:Interest=\dfrac{P\times{R}\times{T}}{100}}$

Putting Values :

$\longmapsto\tt{100=\dfrac{500\times{10}\times{T}}{100}}$

$\longmapsto\tt{100\times{100}=500\times{10}\times{T}}$

$\longmapsto\tt{10000=5000\:T}$

$\longmapsto\tt{T=\dfrac{10{\not{0}}{\not{0}}{\not{0}}}{5{\not{0}}{\not{0}}{\not{0}}}}$

$\longmapsto\tt{T=\cancel\dfrac{10}{5}}$

$\longmapsto\tt\bf{T=2\:yrs}$

So ,The Time is 2 years .

_______________________

• Amount = Principal + Interest
• Principal = Amount - Interest
• Simple Interest = P×R×T / 100
• Profit = S.P - C.P
• Loss = C.P - S.P
• Profit % = Profit × 100 / C.P
• Loss % = Loss × 100 / C.P

_______________________

Answer 2

Answer:

$\huge \bf given$

• Rate = 10%
• Simple interest = ₹100
• Principal= ₹500

$\huge \bf \: solution$

$\: let \: the \: time \: = x$

$simple \: intrest \: = \frac{p \times r \times t}{100}$

$100 = \frac{500 \times 10 \times x}{100}$

$100 \times 100 = 500 \times 10 \times x$

$10000 = 5000x$

$x = \frac{10000}{500}$

$x = 2 \: years$

$\small \underline {hence \: the \: time \: is \: 2 \: years}$