At what rate percent per annum will a sum of rupees 12000 yield to rupees 189 1.50 as compound interest in 3 years
please give the correct answer to the question because reference is not helping to get the correct answer

Let R %  be the rate of interestper annum.Now, Principal, P = Rs 12000Compound Interest, CI = Rs 1891.50Now, time, n = 3 yrsNow, Amount, A = P1 + R100nCI + P = P1 + R100nCI = P1 + R100n - PCI = P1 + R1003 - 11891.50 = 120001 + R1003 - 11891.5012000 = 1 + R1003 - 11891.5012000 + 1 = 1 + R1003 13891.5012000 = 1 + R1003 138915120000 = 1 + R1003 92618000 = 1 + R1003 21203 = 1 + R1003 1 + R100 = 2120R100 = 120R = 5So, rate of interest = 5% p.a.

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use formula

ci = p { ( 1+r/100)^n -1}


1891.50 = 12000 { (1+r/100)^3 -1}

1891.50
----------- = (1+r/100)^3 -1
12000



18915
-------- + 1 = ( 1+r/100)^3
120000


9261
-------- = ( 1+ r/100)^3
8000


(21/20)^3 = (1+r/100)^3



21/20 = 1 + r/100


21/20 -1 = r/ 100


1/20 = r/100

this r = 5%
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