Question

find the difference in C.I and S.I for if P = ₹ 3000 , r = 4 % p.a, n= 2year​

Answer 1

Answer:

I Hope this will help u....

Answer 2

Answer :

• The difference between Compound Interest and Simple interest is Rs. 4.8

Step-by-step explanation ::

To Find :-

• The difference between Compound Interest and Simple interest

Solution ::

Given that,

• Principal = Rs. 3000
• Rate = 4%
• Time = 2 years

Therefore, simple interest is,

As we know that,

$\dag \: \boxed{\bf{Simple \: Interest = \dfrac{Principal \times Rate \times Time}{100}}} \\ \\ \\ \sf{\mapsto \: S.I. = \dfrac{3000 \times 4 \times 2}{100}} \\ \\ \\ \sf{\mapsto \: S.I. = 30 \times 4 \times 2} \\ \\ \\ \sf{\mapsto \: S.I. = 120 \times 2} \\ \\ \\ \sf{\mapsto \: S.I. = 240}$

• The simple Interest is Rs. 240

Now, Compound Interest is,

As we know that,

Compound interest = Amount - Principal, therefore amount is,

$\sf{Amount = \bigg\{ {P \times \bigg(1+\dfrac{R}{100}\bigg)}^{n}} \bigg\}$

Where,

• P = Principal
• R = Rate
• n = Time

$\sf{ \mapsto \: A = \bigg\{ {3000 \times \bigg(1+\dfrac{4}{100}\bigg)}^{2}} \bigg\} \\ \\ \\ \sf{ \mapsto \: A = \bigg\{ {3000 \times \bigg(1 + \dfrac{ \cancel{4}}{ \cancel{100}}\bigg)}^{2}} \bigg\} \\ \\ \\ \sf{ \mapsto \: A = \bigg\{ {3000 \times \bigg(1+\dfrac{1}{25}\bigg)}^{2}} \bigg\} \\ \\ \\ \sf{ \mapsto \: A = \bigg\{ {3000 \times \bigg(\dfrac{26}{25}\bigg)}^{2}} \bigg\} \\ \\ \\ \sf{ \mapsto \: A = {3000 \times \dfrac{26}{25} \times \dfrac{26}{25}}} \\ \\ \\ \sf{ \mapsto \: A = { \cancel{3000} \times \dfrac{26}{25} \times \dfrac{26}{ \cancel{25}}}} \\ \\ \\ \sf{ \mapsto \: A = { \cancel{120} \times \dfrac{26}{ \cancel{25}} \times 26}} \\ \\ \\ \sf{ \mapsto \: A = {4.8 \times 26 \times 26}} \\ \\ \\ \sf{ \mapsto \: A = {3244.8}}$

The amount is Rs. 3244.8.

Therefore, the compound interest is,

Compound interest = Amount - Principal

= Rs. ( 3244.5 - 3000 )

= Rs. 244.8

Therefore, the compound interest is Rs. 244.8.

According the question,

The difference between Compound Interest and Simple interest is,

Compound interest - Simple Interest

= Rs. ( 244.8 - 200 )

= Rs. 4.8 ★