the difference between the simple interest and the compound interest on a sum of money for 2 years at 12% p.a. is Rs 216 . find  the sum

 

Asked by sayantikasingh3318.9sdatl | 24th May, 2020, 08:56: AM

Expert Answer:

Let the sum be P
begin mathsize 16px style straight C. straight I. equals straight P open square brackets open parentheses 1 plus straight r over 100 close parentheses to the power of straight n minus 1 close square brackets equals straight P open square brackets open parentheses 1 plus 12 over 100 close parentheses squared minus 1 close square brackets equals straight P open square brackets open parentheses 28 over 25 close parentheses squared minus 1 close square brackets equals straight P open square brackets fraction numerator 784 minus 625 over denominator 625 end fraction close square brackets equals fraction numerator 159 straight P over denominator 625 end fraction
straight S. straight I. equals fraction numerator straight P cross times 12 cross times 2 over denominator 100 end fraction equals fraction numerator 6 straight P over denominator 25 end fraction
Given comma
straight C. straight I. negative straight S. straight I. equals Rs. space 216
rightwards double arrow fraction numerator 159 straight P over denominator 625 end fraction minus fraction numerator 6 straight P over denominator 25 end fraction equals 216
rightwards double arrow fraction numerator 159 straight P minus 150 straight P over denominator 625 end fraction equals 216
rightwards double arrow 9 straight P equals 625 cross times 216
rightwards double arrow straight P space equals space Rs. space 15 comma 000 end style

Answered by Renu Varma | 24th May, 2020, 01:33: PM