Question

anil deposit ₹20000 in a bank at 10% per annum. find the difference in the compound interest after 1/1/2 years if the interest is compounded
(i) yearly (ii) half yearly​

Answer 1

Answer:

anil 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

hope it helps

Answer 2

Answer:

$\huge\mathfrak\color{pink}Answer$

Step-by-step explanation:

$\sf P = 20000$

R = 10% per annum

= 5%6 monthly

$\sf \: compound \: interest \: in \: 1.5years \: if \: copounded \\ \sf \: 6 \: monthly$

$\sf \: 1.5 \: years \: = 3 \times (6 \: months) \: R \: = 5\%$

$\sf \: interest \: = 20000( \frac{1 + 5}{100} )^{3} - 20000 \\ \sf \: = 3152.5rs$

If Componded Annually

interest for 1st year

$\sf \: = 20000 \times 10 \times \frac{1}{100} \\ \sf \: = 2000$

Now Amount Become $\sf 20000 + 2000 = 22000$

Interest for next 6 months $\sf \: = 22000 \times 10 \times \frac{ \frac{1}{2} }{100} = \\ \sf \: 1100$

Interest = 2000 + 1100 = 3100Rs

Difference = 3152.5 -3100 = Rs 52.5

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