1. Find the amount and the compound interest on :
(i) * 4,000 for 1 year at 12% per annum, interest being compounded half-yearly
years at 10% per annum, interest being compounded half-yearly
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Answer:
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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