Question

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

Answer 1

Answer:

• Difference between CI and SI = Rs. 4.8

Step-by-step explanation:

Given:

• Principal (P) = Rs. 3000
• Rate of interest (R) = 4%
• Time (T) = 2 years

To Find:

• Difference between CI and SI.

Formula used:

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

• ${\sf{CI = A - P}}$

• ${\sf{SI=\dfrac{PRT}{100}}}$

Now, first we will find amount,

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

$\implies{\sf{A=3000\Bigg(1+\dfrac{4}{100}\Bigg)^{2}}}$

$\implies{\sf{A=3000\Bigg(\dfrac{104}{100}\Bigg)^{2}}}$

$\implies{\sf{A=3000\Big(1.04 \Big)^{2}}}$

$\implies{\boxed{\sf{A=Rs.\;3244.8}}}$

Now, we know that,

$\implies{\sf{CI = A - P}}$

$\implies{\sf{CI = 3244.8 - 3000}}$

$\implies{\boxed{\sf{CI = Rs\;244.8}}}$

Now, we will find SI,

$\implies{\sf{SI=\dfrac{PRT}{100}}}$

$\implies{\sf{SI=\dfrac{3000\times 2\times 4}{100}}}$

$\implies{\sf{SI=\dfrac{24,000}{100}}}$

$\implies{\boxed{\sf{SI=Rs.\;240}}}$

Now, Difference between CI and SI is:

$\implies{\sf{244.8-240}}$

$\implies{\boxed{\sf{Rs.\;4.8}}}$

Hence, Difference between CI and SI = Rs. 4.8