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