Sudhakar borrows RS. 22500 at 10 percent per anum, compounded annually. If he repays RS. 11250 at the end of first year and RS. 12550 at the end of second year, find the amount of loan outstanding against him at the end of the third year.
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Answer:Principal (P) = Rs.22500
Rate (r) =10% p.a.
Period (n) =3 years
Amount at the end of first year = P(1+r/100)1 = 22500 (1+10/100)1 = 22500 x 11/10 = Rs.24750
Amount paid at the end of first year =Rs. 11250
Balance = Rs.24750 - Rs.11250 =Rs.13500
Amount at the end of 2nd year = Rs.13500 (1+10/100)1 = Rs.13500 x 11/10 = Rs.14850
Amount paid at the end of 2nd year =Rs.12550
Balance = Rs. (14850-12550) = Rs. 2300
Amount at the end of 3rd year = 2300 (1+10/100)1 = 2300 x 11/10 = Rs.2530
Amount paid at the end of 3rd year = Rs. 2530
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