Dear sir please can you help me solve this problem 1. A sum of money is lent out at 8 % p.a. coumpound interest . the interest for second year exeeds that for first year by rupees 32 . find the original principal .

ICSE Class 9 Answered

Dear sir

please can you help me solve this problem

1. A sum of money is lent out at 8 % p.a. coumpound interest . the interest for second year exeeds that for first year by rupees 32 . find the original principal .

Asked by abhi611 | 17 Sep, 2017, 11:17: AM

Expert Answer

begin mathsize 16px style Let space straight y space be space the space sum space of space money space lent space and space straight r space be space the space rate space of space per space annum compounded space annually straight P space equals space Rs. space straight y straight r space equals space 8 percent sign space straight p. straight a. Interest space for space the space 1 to the power of st space end exponent space year space equals space PRT over 100 equals fraction numerator straight y cross times 8 cross times 1 over denominator 100 end fraction equals 8 over 100 straight y Principal space for space second space year space equals space straight y plus 8 over 100 straight y equals 108 over 100 straight y Interest space for space 2 to the power of nd space year space equals PRT over 100 equals fraction numerator begin display style 108 over 100 end style straight y cross times 8 cross times 1 over denominator 100 end fraction equals fraction numerator 864 straight y over denominator 10000 end fraction Interest space of space second space year space exceeds space that space of space first space by space 32 space Rs. fraction numerator 864 straight y over denominator 10000 end fraction equals 8 over 100 straight y plus 32 On space solving space we space get space straight y space equals space 5000 space Rs. end style

Answered by Sneha shidid | 17 Sep, 2017, 07:36: PM

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