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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.
Kamala borrowed from Ratan a certain sum at a certain rate for two years simple interest. She lent this sum at the same rate to Harti for two years compound interest. At the end of two years she received Rs. 210 as compound interest, but paid Rs. 200 only as simple interest. Find the sum and the rate of interest.
6400 workers were employed to construct a river bridge in four years. At the end of the first year, 25% workers were retrenched. At the end of the second year, 25% of those working at that time were retrenched. However, to complete the project in time, the number of workers was increased by 25% at the end of the third year. How many workers were working during the fourth year?