Question

Find the difference between the compound interest
per annum for 2 years.
ween the compound interest and simple interest, on a sum of 60,000 at 10%​

Answer 1

$\mathfrak{\huge{\underline{Answer:}}}$

Given,

$\sf \: Principal = Rs \: 60000$

$\sf \: Rate = 10 \%$

$\sf \: Time = 2 \: years$

$\textbf{\underline{\underline{To\:Find\:S.I}}}$

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

$\sf \: S.I = \dfrac{600 \cancel0 \cancel0 \times 10 \times 2}{1 \cancel0 \cancel0}$

$\boxed{\boxed{S.I\: = Rs\:12000}}$

$\textbf{\underline{\underline{To\:Find\:C.I}}}$

$\sf \: Amount = P(1 + \dfrac{r}{100} ) ^{n}$

$\sf \: Amount = 60000(1 + \dfrac{1 \cancel0}{10 \cancel0} )^{2}$

$\sf \: Amount = 60000(1 + \dfrac{1}{10} ) ^{2}$

$\sf \: Amount = 600 \cancel0 \cancel0 \times \dfrac{11}{1 \cancel0} \times \dfrac{11}{1 \cancel0}$

$\sf \: Amount = Rs \: 72600$

C.I = Amount - Principal

C.I = Rs 72600- Rs 60000

$\boxed{\boxed{Rs\:12,600}}$

$\textbf{\underline{\underline{Difference\:Between\:Them :}}}$

$\sf \: Difference = C.I - S.I$

$\sf \: Difference = Rs \: 12600 - 12000$

$\boxed{\boxed{Rs\:600}}$

Answer 2

Answer:

The answer is Rs. 600.

Step-by-step explanation:

Given :

Principal = Rs 60000

Rate = 10%

Time = 2 years

Solution :

• Step 1 :

Find SI.

So,

$\sf\\ \\ \implies \dfrac{P \times R \times T}{100} \\ \\ \\ \implies \dfrac{600 \cancel0 \cancel0 \times 10 \times 2}{1 \cancel0 \cancel0} \\ \\ \\\implies S.I\: = Rs\:12000}}$

• Step 2 :

Find CI.

So,

$\sf\\ \\ Amount = P\left(1 +\dfrac{r}{100}\right) ^{n}\\ \\ \\ \implies 60000\left(1 +\dfrac{1 \cancel0}{10 \cancel0}\right)^{2}\\ \\ \\ \implies 60000\left(1+\dfrac{1}{10}\right)^{2} \\ \\ \\ \implies 600 \cancel0 \cancel0 \times  \dfrac{11}{1 \cancel0}  \times  \dfrac{11}{1 \cancel0}\\ \\ \\ \implies Amount = Rs \: 72600$

We know that :

$\bigstar\;\boxed{\sf C.I = Amount. - Principal.}}$

So,

C.I = Rs 72600 - Rs 60000.

⇒ Rs 12,600.

Now,

• Step 3 :

We know that,

$\bigstar\;\boxed{\sf Difference = C.I - S.I}}$

⇒ Rs 12600 - 12000

⇒ Rs. 600.

Therefore,

The answer is Rs. 600.