Question

find the difference between the compound interest and simple interest on a sum of rupees 50000 at 10% per annum for 2 years old answer with explanation properly.
←_←This question is from class 8th RD sharma→_→​

Answer 1

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

Principal = Rs.50000

Rate = 10 % per annum

Time = 2 years

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

• Difference between the Compound Interest and Simple Interest

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

Let us firstly find the Simple Interest :-

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

$=\bf\dfrac{50000\times 10\times 2}{100}$

$\bf{{=500\times 10\times 2}}$

$\bf{{= 10000}}$

$\boxed{\sf{\green{S.I.= Rs.10000}}}$

Now let us find the Compound Interest :-

Firstly we will find the Amount,

$\bf{{A=P(1+}}$$\bf\dfrac{r}{100})^{n}$

$\bf{{=50000(1+}}$$\bf\dfrac{10}{100})^{2}$

$\bf{{=50000}}$$(\bf\dfrac{100+10}{100})^{2}$

$\bf{{=50000}}$$(\bf\dfrac{110}{100})^{2}$

$\bf{{=50000}}$$(\bf\dfrac{110}{100})$$\times \bf\dfrac{110}{100}$

$\bf{{=60500}}$

Now,

C.I. = A - P

= 60500 - 50000

= 10500

$\boxed{\sf{\green{C.I. = Rs.10500}}}$

Now let us finally find the difference

C.I. - S.I.

= 10500 - 10000

= Rs.500

$\LARGE{\bf{\underline{\underline{Required \ Answer :-}}}}$

$\boxed{\sf{\green{C.I. - S.I. = Rs.500}}}$

Answer 2

Answer:

The difference between compound interest and simple interest is ₹500

Step-by-step explanation

The principal =₹50000

Rate =10%

Time =2 year

amount= p(1+10/100)²

compound interest

=50000*(100+10/100)²

=50000*110|100*110|100

=₹60500

compund interest=A-P

compund interest=₹60500-50000

compund interest=10500

now, we have to find simple interest

simple interest=PRT/100

=50000*10*2/100

=₹10000

difference between compound interest and simple interest

= compound interest - simple interest

=₹10500-₹10000

=₹500