find the principal if the compound interest at the rate of 5% compounded annually for 3 years is 1261 explain in brief
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Answer:
Step-by-step explanation:
Atq ,
The rate of interest is 5%
The time is 3 years
The compound interest is given 1261
So ,
" p (1+r/100)^3-p=1261
=p (1+5/100)^3-p=1261
=p (105/100)^3-p=1261
=p×21/20×21/20×21/20-p=1261
=9261p/8000-p=1261 (here 21×21×21=9261&20×20×20=8000)
=9261p-8000p/8000=1261
=1261p/8000=1261(here 9261p-8000p=1261p)
So,
=p=1261×8000/1261(shifting 1261/8000to the other side)
=p=8000(1261 is cancelled with 1261)
Hope it helps
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