Compute the amount and the compound interest in each of the following by using the formulae when :

(i) Principal = Rs. 3000, Rate = 5%, Time = 2 years

(ii) Principal = Rs. 3000, Rate = 18%, Time = 2 years

(iii) Principal = Rs. 5000, Rate = 10 paise per annum, Time = 2 years

(iv) Principal = Rs. 2000, Rate = 4 paise per annum, Time = 3 years

(v) Principal = Rs. 12800, Rate = 7%, Time = 3 years

(vi) Principal = Rs. 10000, Rate = 20% per annum compounded half-yearly, Time = 2 years

(vii) Principal = Rs. 160000, Rate = 10 paise per rupee per annum compounded half yearly, Time = 2 years.

(i) Given,

Principal = Rs.3000

Rate = 5%

Time = 2 years

Compound interest =

=

Amount = principal + Compound interest

= 3000 + 307.50 = Rs. 3307.50

(ii) Given,

Principal = Rs.3000

Rate = 18%

Time = 2 years

Compound interest =

=

Amount = Principal + compound interest

= 3000 + 1177.20 = Rs.4177.20

(iii) Given,

Principal = Rs.5000

Rate = 10% p.a

Time = 2 years

Compound interest =

=

Amount = Principal + compound interest

= 5000 + 1050 = Rs. 6050

(iv) Given,

Principal = Rs.2000

Rate = 4% p.a

Time = 3 years

Compound interest =

=

Amount = Principal + compound interest

= 2000 + 249.72 = Rs.2249.73

(v) Given,

Principal = Rs.12800

Rate = 7% =

Time = 3 years

Compound interest =

= = Rs.3101.40

Amount = principal + compound interest

= 12800 + 3101.40 = Rs. 15901.40

(vi) Given,

Principal = Rs.10000

Rate = 20% p.a =

Time = 2 years = 2×2 = 4 quarter

Compound interest =

= 100

Amount = Principal + Compound interest

= 10000 + 4641 = Rs.14641

(vii) Given,

Principal = Rs.160000

Rate = 10% p.a =

Time = 2 years = 2×2 = 4 quarters

Compound interest =

=160000

Amount = principal + Compound interest

= 160000+34481 = Rs.194481