the C.I  on a  sum of money for 2 years is rs. 820/- and the S.I on the same sum for the same period is rs. 800/- . find the sum and rate of interest.

Asked by abhi611 | 19th Jul, 2017, 10:36: PM

Expert Answer:

begin mathsize 16px style Since space straight S. straight I. space of space 2 space years equals Rs. space 800
therefore space straight S. straight I. space of space 1 space year equals Rs. space 800 over 2 equals Rs. space 400
therefore space straight C. straight I. space for space 1 st space year equals Rs. space 400 space space space space space.... left square bracket For space 1 st space year colon space straight C. straight I. equals straight S. straight I. right square bracket
Given comma space straight C. straight I. space for space 2 space years equals Rs. space 820
therefore space straight C. straight I. space for space 2 nd space year equals Rs. space 820 minus Rs. space 400 equals Rs. space 420
Difference space between space the space straight C. straight I. space of space two space successive space years
equals Rs. space 420 minus Rs. space 400
equals Rs. space 20
rightwards double arrow Rs. space 20 space is space the space interest space for space one space year space on space the space interest space of space 1 st space year comma space straight i. straight e. space Rs. space 400
therefore Rate equals fraction numerator 100 cross times straight I over denominator straight P cross times straight T end fraction percent sign equals fraction numerator 100 cross times 20 over denominator 400 cross times 1 end fraction percent sign equals 5 percent sign
Sum equals Principal equals fraction numerator 100 cross times straight I over denominator straight R cross times straight T end fraction equals fraction numerator 100 cross times 800 over denominator 5 cross times 1 end fraction equals Rs. space 16000 end style

Answered by Rashmi Khot | 20th Jul, 2017, 10:25: AM