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ICSE Class 9 Answered

A sum of rupees 16000 invested at simple interest amounts to ropees 22400 in 4 years at a certain rate of interest. If the same sum of money is invested for 2 years at the same rate of interest compounded per annum find the compound interest earned.
Asked by jesh2310 | 27 Feb, 2016, 09:14: AM
answered-by-expert Expert Answer
Given, 
P = Rs.16000
A = Rs.22400
SI = A - P = Rs.(22400 - 16000) = Rs.6400
T = 4 years
 
SI = fraction numerator P T R over denominator 100 end fraction
6400 = fraction numerator 16000 space cross times space 4 space cross times space R over denominator 100 end fraction
6400 = 640R
6400 ÷ 640 = R 
R = 10%
 
calculating compound interest
 
A = P open parentheses 1 space plus space R over 100 close parentheses to the power of n
A = 16000 open parentheses 1 space plus space 10 over 100 close parentheses squared
A = 16000 space cross times 11 over 10 space cross times 11 over 10
A = Rs.19360
 
CI = A - P 
CI = Rs.(19360 - 16000)
CI = Rs.3360
 
Hence, the compound interest earned is Rs.3360
Answered by Keravi Thanani | 29 Feb, 2016, 11:13: AM
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