A man lends Rs. 5,500 at the rate of 8% per annum. Find the amount if the interest is compounded half-yearly and the duration is one year

 A man lends Rs. 5,500 at the rate of 8% per annum. Find the amount if the interest is compounded half-yearly and the duration is one year.


Solution


Principal (P)=Rs. 5500


Rate = 8% p.a. or 4% half-yearly


Period 1 year or 2 half years


interest-  PRT/ 100


5500×4×1/100 -

= Rs. 220 ..

  Amount after first half year = Rs. 5500 + 220 

= Rs. 5720 000


= Rs. 5720 or principal for the second half year Interest Rs - 5720×4x1/ 100


=1144/5


= Rs. 228.80


5 .. Amount after 2nd half year


=Rs. 5720+228.80=Rs. 5948.80

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