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Q.

The compound interest on Rs.50000 at 4% per annum for 2 years compounded annually is,


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a

Rs.4000

b

Rs.4080

c

Rs.4280

d

Rs.4050 

answer is B.

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Detailed Solution

It is given that, principal amount (P) = Rs.50000.
Interest rate (R) = 4% p.a.
Time (T) = 2 years
The formula for compound interest if the interest is compounded annually is,
C.I.=P 1+ R 100 T P          ...(1)  
Substituting the values, we get
       C.I.=50000 1+ 4 100 2 50000      C.I.=50000 100+4 100 2 50000    C.I.=50000 104 100 2 50000    C.I.=50000× 10816 10000 50000    C.I.=5×1081650000    C.I.=5 1081610000    C.I.=5×816    C.I.=4080   Therefore, the compound interest on Rs.50000 at 4% per annum for 2 years that is compounded for 1 year is Rs.4080.
 Hence, option (2) is correct.
 
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