Question

If the interest is Rs 41454/- for 5years @8.4% in a scheme. what is the original sum?

a) 98700/-
b) 252000/-
c) 12000/-
d) 8900/-

please answer this question with full explanation.

Answer 1

Answer:

Rs 98700

Step By Step Explanation:

Given:

Interest (I) = Rs 41454

Time (T) = 5 years

Rate (R) = 8.4 %

Now,

$\mathsf{Principle (P) = \frac{I \: \times \: 100}{T \: \times \: R}}$

$\mathsf{ \implies \frac{41454 \: \times \: 100}{5 \: \times \: 8.4} }$

$\mathsf{ \implies \frac{4145400}{42} }$

$\mathsf{ \implies \:Rs\:98700 }$

Extra Information:

Principle (P): It is the deposited or borrowed sum of money.

Interest (I): It is the additional amount of money charged for the deposited or borrowed sum of money.

Rate (R): It is the condition under which the interest is charged. It is usually expressed in percent.

Time (T): It is the duration for which principle is deposited or borrowed.

Amount (A): It is the total sum of principle and interest.

Answer 2

Formula of Simple Interest is given by :-

$\boxed{\mathsf{\green{S.I=\dfrac{P\times R\times T}{100}}}}$

Given information :

Simple Interest (I) = Rs 41454 .

Rate (R) = 8.4 %

Time (T) = 5 years .

$\mathsf{I=\dfrac{P\times R\times T}{100}}\\\\\implies \mathsf{P=\dfrac{I\times 100}{R\times T}}\\\\\implies \mathsf{P=\dfrac{Rs\:41454\times 100}{5\times 8.4}}\\\\\implies \mathsf{P=\dfrac{Rs\:41454\times 100}{42}}\\\\\implies \mathsf{P=Rs\:987\times 100}\\\\\implies \mathsf{P=Rs\:98700}$

$\textsf{\underline{Answer :}}$

OPTION A

MORE INFO :-

Θ Principal is the borrowed sum of money .

Θ Interest is the additional charge on the money .

Θ The rate is the charge on the Principal which affects the interest .

Θ Amount is the sum of principal and interest .

Θ Time is the amount of time for which the money is borrowed .