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ICSE Class 7 Answered

In a saving scheme given by a bank,  a sum of money can double in 8 years. What will be the rate of interest given by the bank? 
Asked by faeemsheriff30 | 16 Jan, 2019, 07:20: PM
answered-by-expert Expert Answer
If amount doubles for a principle p for 8 years with compound rate of intrest r% per year,
 
then we have   begin mathsize 12px style space p open parentheses 1 plus r over 100 close parentheses to the power of 8 space equals space 2 p end style .................(1)
hence begin mathsize 12px style open parentheses 1 plus r over 100 close parentheses space equals space 2 to the power of bevelled 1 over 8 end exponent space almost equal to space 1.09 end style
hence r = 9%
 
[ if calculator is not used to find 21/8 , it can be calculated by logarithm
 
log( 21/8 ) = (1/8) log2  = (1/8)×0.3010 = 0.0376
 
21/8 = antilog(0.0376 ) ≈ 1.09  ]
Answered by Thiyagarajan K | 17 Jan, 2019, 11:01: AM
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