Question

The difference between simple integer and compound interest on Rs. 1000 at 10 % per annum for First Year is​

Answer 1

Answer:

Step-by-step explanation:

Principal=1000  Rs.

Time=4 years

Rate of interes=10%

Then Simpleinterest=  

100

1000×10×4

​  

=400Rs.

Compoundinterest=Amount−Principal

Amount=1000(1+  

100

10

​  

)  

4

 

⇒1000×  

100

110

​  

×  

100

110

​  

×  

100

110

​  

×  

100

110

​  

×

⇒1464.10Rs.

C.I.=1464.10−4000=464.10Rs.

Difference between C.I and S.I.=464.10−400=64.10Rs

Answer 2

Answer:

Principal, p = ₹1000

Rate of interest, r = 10% per annum

Time, t = 1 year

So simple interest =

The difference between simple interest and compound interest on Rs. 1000 at 10 % per annum for First Year is always 0.

E

Principal, p = ₹1000

Rate of interest, r = 10% per annum

Time, t = 1 year

So simple interest =

$\frac{p \times r \times t}{100} \\ = \frac{1000 \times 10 \times 1}{100} \\ = 100</h3><h3>$

Amount =

$p {(1 + \frac{r}{100} )}^{t} \\ = 1000 {(1 + \frac{10}{100} )}^{1} \\ = 1000(1 + \frac{1}{10} ) \\ = 1000 \times \frac{11}{10} \\ = 1100$

Compound interest = Amount - Princpal = ₹1100 - ₹1000 = ₹100

So, CI - SI = 100 - 100 = 0.