Question

A person invested Rs.4000 in a bank. If the rate of interest is 20% p.a and is compounded half yearly. The amount after 1 year will be:​

Answer 1

Answer:

hope this will help you

Step-by-step explanation:

Principal P=Rs.4,000. Since the interest is compounded half-yearly the number of conversion periods in 1  

1  

/2

​  

 

 years are 3. Also the rate of interest per conversion period (6 months) is 10%×  

2

1

​  

=5%(0.05 in decimal).

Thus the amount A  

n

​  

(in Rs.) is given by

A  

n

​  

=P(1+i)  

n

 

A  

3

​  

=4,000(1+0.05)  

3

 

=4,630.50

The compound interest is therefore Rs. (4,630.50−4,000)

=Rs.630.50.

Answer 2

Hi mate here....

Principal P=Rs.4,000. Since the interest is compounded half-yearly the number of conversion periods in 11/2 years are 3. Also the rate of interest per conversion period (6 months) is 10%×21=5%(0.05 in decimal).

Thus the amount An(in Rs.) is given by

An=P(1+i)n

A3=4,000(1+0.05)3

=4,630.50

The compound interest is therefore Rs. (4,630.50−4,000)

=Rs.630.50.

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