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ICSE Class 9 Answered

A certain sum amounts to Rs 5292 in two years and Rs 5556.60 in three years , interest being compounded annually.Find :                             1)the rate of interest                 2) the original sum
Asked by nishabr7 | 10 Aug, 2018, 07:17: PM
answered-by-expert Expert Answer
begin mathsize 16px style 2 to the power of nd space year space
straight A equals Rs. space 5292 comma space straight n equals 2 space years
3 to the power of rd space year
straight A space equals space Rs. space 5556.60 comma space straight n equals 3 space years
For space 3 to the power of rd space years
CI space equals space 5556.60 minus 5292 equals Rs. space 264.60
straight P equals Rs. space 5292 comma space straight A equals Rs. space 5556.60 space and space straight n equals 1 space year
straight A equals straight P open parentheses 1 plus straight R over 100 close parentheses to the power of straight n
5556.60 equals 5292 open parentheses 1 plus straight R over 100 close parentheses
rightwards double arrow straight R equals 5 percent sign space straight p. space straight a.
For space 2 to the power of nd space year
5292 equals straight P open parentheses 1 plus 5 over 100 close parentheses squared
rightwards double arrow straight P equals Rs. space 4800 end style
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