Question

8. Madhu deposited 20000 in a bank at 10% per annum. Find the difference
compound interest after 1 years if the interest is compounded
(1) yearly (i) half-yearly​

Answer 1

Answer:

Madhu diposited Rs 20000 in a bank,

Rate=10% per annum compounded half yearly,

Time=

2

3

years.

We know that,

Total amount= Principle+CI

For interest compounded half yearly,

Total amount =P(1+(

200

R

))

2n

=20000(1+(

200

10

))

2×

2

3

=

200×200×200

20000×210×210×210

=22050

Interest=Amount−Principle

=22050−20000

=2050 Rs

Step-by-step explanation:

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Answer 2

Step-by-step explanation:

1.) Yearly:

P = 20000

r = 10%

t = 1year

$amout= p(1 + \frac{r}{100})^{n}$

$= 20000(1 + \frac{10}{100})^{1}$

$= 20000( \frac{11}{10})$

$20000 \times \frac{11}{10} = 22000rs$

C.I = Amount - Principle

= 22000 - 20000

= 2000 rs

2.) Compounded half yearly

$amount = 20000(1 + \frac{10}{200}){2}$

$= 20000( \frac{21}{20})^{2} \\ = 20000 \times \frac{21}{20} \times \frac{21}{20}$

$= 22050rs$

C.I = 22050rs - 20000rs

=2050rs

Difference between half yearly C.I and yearly C.I

= 2050rs - 2000rs

= 50rs

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