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ICSE Class 9 Answered

Calculate the amount of ₹30000 at the end of 2 years 4 months, compounded annually at 10% per annum.  
Asked by mahimakushwaha12.9sdatl | 23 May, 2020, 08:59: PM
answered-by-expert Expert Answer

Interest for the 1st year = Rs ( 30000 x 10 /100  x1 )  = 3000

Amount at the end of 1st year = 30000 + 3000 =  33000 Rs 

Principal for the 2nd year = 33000 Rs 

Interest for the second year =(  33000 x 10/100 x 1) = 3300

Amount at the end of 2nd year = 33000 + 3300 = 36300 

Principal for the 3rd year = 36300 

Interest for the 4 months = 36300 x 4/12 x 10 x 1/100 = 1210 

Hence, the amount at the end of the 4 months = 36300 + 1210 = 37510  

 
 
This can be solved using the compound interest formula as well

begin mathsize 16px style space Amount space equals space straight P space open parentheses 1 space plus space straight R over 100 close parentheses to the power of straight N
space space space space space space space space space space space space space space equals space 30000 space open parentheses 1 space plus space 10 over 100 close parentheses to the power of 2 space plus 1 third end exponent
space space space space space space space space space space space space space space equals 30000 space open parentheses 1 space plus space 10 over 100 close parentheses squared open parentheses 1 plus space fraction numerator 10 over denominator 3 space cross times 100 end fraction close parentheses space space space space space space space space space space space space space space space space space space space space space space.... space since space left parenthesis 1 space plus space straight x right parenthesis to the power of straight n space equals space left parenthesis 1 space plus space nx right parenthesis space space comma space straight x space less than 1
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end style
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