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CBSE Class 8 Answered

find the principle which will amount to rupees 8788 in 3 years at the rate of 4% p.a compounded anually
Asked by ajayrath7 | 29 Oct, 2017, 11:25: AM
answered-by-expert Expert Answer
begin mathsize 16px style Let space the space Principal space be space Rs. space 100.
Then comma
Amount space after space 3 space years equals Rs. space open square brackets 100 cross times open parentheses 1 plus 4 over 100 close parentheses cubed close square brackets
equals Rs. space open square brackets 100 cross times open parentheses 26 over 25 close parentheses cubed close square brackets
equals Rs. space open square brackets 100 cross times 17576 over 15625 close square brackets
equals Rs. space 112.5
therefore space straight C. straight I. equals Rs. space left parenthesis 112.5 minus 100 right parenthesis equals Rs. space 12.5
Now comma
If space straight C. straight I. space is space Rs. space 12.5 comma space Principal equals Rs. space 100
If. space straight C. straight I. space is space Re. space 1 comma space principal equals Rs. space fraction numerator 100 over denominator 12.5 end fraction
If space straight C. straight I. space is space Rs. space 8788 comma space Principal equals Rs. space open parentheses fraction numerator 100 over denominator 12.5 end fraction cross times 8788 close parentheses equals Rs. space 70304
Hence comma space Principal equals Rs. space 70304 end style
Answered by Rashmi Khot | 20 Dec, 2017, 11:29: AM
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