Question

Rampal deposited * 25,000 in the bank for 4 years
and obtained simple interest 8,000. What is the
rate of simple interest? With the same rate and
same period if he deposits amount 12,500,
then how much interest he will get?​

Answer 1

Answer:

R = 8%

SI = 4000

Step-by-step explanation:

1)

We know,

• SI = PTR/100

Given,

• SI = 8000
• Principal,P = 25000
• Time,T = 4years

To find,

• Rate of interest,R = ?

Let's substitute the given values in the formula :-

• 8000 = 25000 x 4 x R/100
• R = 8000 x 100/25000 x 4
• R = 8 x 100/25 x 4
• R = 2 x 100/25
• R = 2 x 4
• R = 8

Hence,

Rate of interest,R = 8%

2)

Given,

• P = 12500
• T = 4 yes
• R = 8%

To find,

• SI = ?

We know,

• SI = PTR/100
• SI = 12500 x 4 x 8/100
• SI = 125 x 4 x 8
• SI = 4000

Hence,

Simple interest,SI = 4000

Hope it helps

Answer 2

Answer:

${\large{\underline{\underline{\bf{Given : -}}}}}$

• ↠ Simple Interest = Rs.8000
• ↠ Principle = Rs.25000
• ↠ Time = 4 years

$\begin{gathered}\end{gathered}$

${\large{\underline{\underline{\bf{To \: Find: -}}}}}$

• ↠ The rate of simple interest
• ↠ Simple interest on the same rate and same period if he deposits amount 12,500.

$\begin{gathered}\end{gathered}$

${\large{\underline{\underline{\bf{Using \: Formulae: -}}}}}$

${\bigstar{\underline{\boxed{\sf{\purple{R = \frac{S.I \times 100 }{P \times T}}}}}}}$

${\bigstar{\underline{\boxed{\sf{\purple{S.I = \dfrac{P \times R \times T}{100}}}}}}}$

$\pink\bigstar$ Where :-

• ➻ R = Rate of simple interest
• ➻ S.I = Simple Interest
• ➻ P = Principle
• ➻ T = Time

$\begin{gathered}\end{gathered}$

${\large{\underline{\underline{\bf{Solution: -}}}}}$

$\pink\bigstar$ Firstly, Finding the rate of simple interest :-

${\dashrightarrow{\sf{Rate = \dfrac{S.I \times 100 }{P \times T}}}}$

${\dashrightarrow{\sf{Rate = \dfrac{8000 \times 100 }{25000 \times 4}}}}$

${\dashrightarrow{\sf{Rate = \dfrac{ 8{\cancel{000}} \times 100 }{25{\cancel{000}} \times 4}}}}$

${\dashrightarrow{\sf{Rate = \dfrac{8\times 100 }{25 \times 4}}}}$

${\dashrightarrow{\sf{Rate = {\dfrac{800 }{100}}}}}$

${\dashrightarrow{\sf{Rate = \cancel{\dfrac{800 }{100}}}}}$

${\dashrightarrow{\sf{Rate = 8 \: \%}}}$

${\bigstar{\underline{\boxed{\bf{\red{Rate = 8 \: \%}}}}}}$

∴ The rate of simple interest is 8%.

$\rule{200}2$

$\pink\bigstar$ Now, Calculating the simple interest on the rame rate and same time with principle Rs.12,500 :-

${\dashrightarrow{\sf{S.I = \dfrac{P \times R \times T}{100}}}}$

${\dashrightarrow{\sf{S.I = \dfrac{12500\times 8\times 4}{100}}}}$

${\dashrightarrow{\sf{S.I = \dfrac{12500 \times 32}{100}}}}$

${\dashrightarrow{\sf{S.I = \dfrac{400000}{100}}}}$

${\dashrightarrow{\sf{S.I = \cancel{\dfrac{400000}{100}}}}}$

${\bigstar{\underline{\boxed{\bf{\red{S.I = Rs.4000}}}}}}$

∴ The Simple Interest is Rs.4000.

$\begin{gathered}\end{gathered}$

${\large{\underline{\underline{\bf{Answer : -}}}}}$

• ↠ The rate of simple interest is 8%.
• ↠The same rate and same period if he deposits amount 12,500, then he will get Rs.4000 as simple interest.

$\begin{gathered}\end{gathered}$

${\large{\underline{\underline{\bf{Learn \: More : -}}}}}$

$\small\circ{\underline{\boxed{\sf{\green{ Simple \: Interest = \dfrac{P \times R \times T}{100}}}}}}$

$\small\circ{\underline{\boxed{\sf{\green{Amount={P{\bigg(1 + \dfrac{R}{100}{\bigg)}^{T}}}}}}}}$

$\small\circ{\underline{\boxed{\sf{\green{Amount = Principle + Interest}}}}}$

$\small\circ{\underline{\boxed{\sf{\green{ Principle=Amount - Interest }}}}}$

$\small\circ{\underline{\boxed{\sf{\green{Principle = \dfrac{Amount\times 100 }{100 + (Time \times Rate)}}}}}}$

$\small\circ{\underline{\boxed{\sf{\green{Principle = \dfrac{Interest \times 100 }{Time \times Rate}}}}}}$

$\small\circ{\underline{\boxed{\sf{\green{Rate = \dfrac{Simple \: Interest \times 100}{Principle \times Time}}}}}}$

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