Question

If the simple interest of Rs.12,500 for 3 years is Rs.1875, find the rate of interest.​

Answer 1

Answer :

• 5%

Given :

• Principal = Rs.12,500
• Time = 3 years
• Simple Interest = Rs.1875

To find :

• the rate of interest

Solution :

$\sf Interest \: Rate = \dfrac{Simple \: Interest \times 100}{Principal \times Time}$

$\sf = \dfrac{1875 \times 100}{12500 \times 3}$

$\sf = \dfrac{1875 \times 1 \not 0 \not 0}{125\not 0 \not 0 \times 3}$

$\sf = \dfrac{1875 \times 1 }{125 \times 3}$

$\sf = \dfrac{1875 }{375}$

$\sf = \cancel {\dfrac{1875 }{375} }$

$\sf = 5 \%$

• Therefore, the rate of interest is 5%.

Answer 2

Question :-

• Find the Rate of Interest, if the Principal is Rs. 12000 , Interest is Rs. 1875 and Time Period is 3 years .

Answer :-

• Rate of Interest is 5 %

$\rule {180pt}{2pt}$

Given :-

• Principal = Rs. 12000
• Simple Interest = Rs. 1875
• Time Period = 3 years

To Find :-

• Rate of Interest = ?

Solution :-

As per the provided information in the given question, we have been given that Principal is Rs. 12000 , Simple Interest is given Rs. 1875 , Time Period is 3 years . And, we have been asked to calculate the Rate of Interest .

Formula Required :-

$\bigstar \: \: \boxed {\sf{Rate \: = \: \dfrac{Simple \: Interest \: \times \: 100}{Principal \: \times \: Time} }}$

Therefore, by substituting the given values in the Formula, we will get :-

$\longmapsto \: \sf{Rate \: = \: \dfrac{Simple \: Interest \: \times \: 100}{Principal \: \times \: Time} }$

$\longmapsto \: \sf{Rate \: = \: \dfrac{1875 \: \times \: 100}{12000 \: \times \: 3} }$

$\longmapsto \: \sf{Rate \: = \: \dfrac{1875 \: \times \: 1 \: \cancel{00}}{120 \: \cancel{00} \: \times \: 3} }$

$\longmapsto \: \sf{Rate \: = \: \dfrac{1875 \: \times \: 1}{120 \: \times \: 3} }$

$\longmapsto \: \sf{Rate \: = \: \dfrac{1875}{375} }$

$\longmapsto \: \sf{Rate \: = \: \dfrac{\cancel{1875}\: _{5}}{\cancel{375} \: _{1}} }$

$\longmapsto \: \textbf {\textsf {\pink{Rate \: = \: 5 \: \%}}}$

Hence :-

• Rate of Interest = 5 %

$\rule {180pt}{4pt}$

Learn More :-

$\begin{gathered} \begin{gathered}\begin{gathered}\boxed{\begin{array}{c} \\ \underline{ { \textbf {\textsf \red{ \dag \: \: More \: Formulas \: \: \dag}}}} \\ \\ \\ \footnotesize \bigstar \: \sf{Simple \: Interest = \large \frac{Principal \: \times \: Rate \: \times \: Time}{100} } \\ \\ \\ \footnotesize \bigstar \: \sf{Principal = \large\frac{100 \: \times \: Simple\: Interest }{Rate \: \times \: Time} } \\ \\ \\ \footnotesize\bigstar \: \sf{Rate = \large \: \frac{Simple\: Interest \: \times \: 100}{Principal \: \times \: Time} } \\ \\ \\ \footnotesize \bigstar \: \sf{Time = \large \: \frac{100 \: \times \: Simple\: Interest}{Principal \: \times \: Rate} } \\ \\ \\ \footnotesize \bigstar \: \sf{Amount = Principal \: + Simple\:Interest}\end{array}}\end{gathered}\end{gathered} \end{gathered}$