A man borrows RS. 50,000 at 12% P.A. compounded half yearly. He pays back RS. 18000 at the end of every 6 months. calculate the third payment he has to make to clear the loan.

Asked by kinshuk | 19th Jun, 2019, 08:52: PM

Expert Answer:

begin mathsize 16px style For space 1 to the power of st space space space end exponent half space year colon
straight I space equals space fraction numerator straight P space cross times space straight R space cross times space straight N over denominator 100 end fraction space equals space fraction numerator 50000 cross times 12 cross times 1 over denominator 100 space cross times space 2 end fraction space equals space Rs. space 3000
Principar space for space the space 2 to the power of nd space half space year space equals space left parenthesis 50000 space plus space 3000 space minus space 18000 right parenthesis space equals Rs. space 35000

For space 2 to the power of st space space space end exponent half space year colon
Principar space for space the space 2 to the power of nd space half space year space equals space left parenthesis 50000 space plus space 3000 space minus space 18000 right parenthesis space equals Rs. space 35000
straight I space equals space fraction numerator straight P space cross times space straight R space cross times space straight N over denominator 100 end fraction space equals space fraction numerator 35000 cross times 12 cross times 1 over denominator 100 space cross times space 2 end fraction space equals space Rs. space 2100 space
For space 3 to the power of rd space space space end exponent half space year colon
Principar space for space the space 3 to the power of rd space half space year space equals space left parenthesis 35000 space plus space 2100 space minus space 18000 right parenthesis space equals Rs. space 19100
straight I space equals space fraction numerator straight P space cross times space straight R space cross times space straight N over denominator 100 end fraction space equals space fraction numerator 19100 cross times 12 cross times 1 over denominator 100 space cross times space 2 end fraction space equals space Rs. space 1146
Total space amount space equals space 19100 space plus space 1146 space equals space Rs. space 20246
So comma space he space will space pay space Rs. space 20246 space to space clear space the space loan space
space end style

Answered by Yasmeen Khan | 20th Jun, 2019, 09:15: AM