Question

Find the difference between S.I. and C.I. on Rs.2000 for 1 and half years at 6% pa, Compound interest being reckoned half yearly.
Pleasr answer only if u know

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Answer 1

Answer:

S.I Means simple interest.

C.I Means Compound Interest

Step-by-step explanation:

Your answer Buddy

Si on 2000 at the rate of 2000 is p*r*t/100

2000*6%*1/100= 120

Means S.I on 2000 is 120...

Now compound Interest ..

we know 6% of 2000 is 120 ..

so new Principle is2120.

Now c.i of2120 is 2247.2

IT'S YOUR ANSWER BUDDY

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Answer 2

Given:-

• Principal = Rs.2000
• Time = $\sf{1\dfrac{1}{2} = \dfrac{3}{2}\:years}$
• Rate = 6%

To find:-

Difference between SI and CI.

Solution:-

We know,

$\sf{SI = \dfrac{P\times R\times T}{100}}$

= $\sf{SI = \dfrac{2000\times 6\times 3}{100\times 2}}$

= $\sf{SI = Rs.180}$

Therefore SI = Rs.180

Now,

We Know,

$\sf{A = P\bigg(1+\dfrac{r}{200}\bigg)^{2t}}$

[When compounded half-yearly]

= $\sf{A = 2000\bigg(1+\dfrac{6}{200}\bigg)^{2\times\dfrac{3}{2}}}$

= $\sf{A = 2000\bigg(\dfrac{200+6}{200}\bigg)^3}$

= $\sf{A = 2000\bigg(\dfrac{206}{200}\bigg)\bigg(\dfrac{206}{200}\bigg)\bigg(\dfrac{206}{200}\bigg)}$

= $\sf{A = \dfrac{2185454}{1000}}$

= $\sf{A = 2185.454}$

$\sf{CI = A-P}$

= $\sf{CI = 2185.454 - 2000}$

= $\sf{CI = 185.454}$

Difference between CI and SI:-

$\sf{CI - SI}$

= $\sf{185.454 - 180}$

= $\sf{Rs.5.454}$

=> $\sf{Rs.5.45}$

Therefore difference between CI and SI is 5.45

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Formulas Used:-

• $\sf{SI = \dfrac{P\times R\times T}{100}}$
• $\sf{A = P\bigg(1+\dfrac{r}{200}\bigg)^{2t}}$

When Compounded Half-Yearly.

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Extra:-

• $\sf{A = P\bigg(1+\dfrac{r}{100}\bigg)^t}$

When Compounded Annually

• CI = A-P

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Note:-

P = Principal

R = Rate

T = Time

A = Amount

CI = Compound Interest

SI = Simple Interest.

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