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  1. If a sum of Rs. 12500 is invested for 1 year at 12% per annum interest being compounded semiannually, then interest earned is :
    1. Rs.1505
    2. Rs.1535
    3. Rs.1545
    4. Rs.1550
Correct Option: C

If interest is compounded semiannually , then
Rate of interest = 12% per annum = 6% per half–year , Time = 2 half years
Here , P = Rs. 12500

∴  C.I. = P 1 +
R
T − 1
100

C.I. = 12500 1 +
6
2 − 1
100

C.I. = 12500 1 +
3
2 − 1
50

C.I. = 12500
53
2 − 1
50

C.I. = 12500
2809
− 1
2500

C.I. = 12500
2809 - 2500
2500

C.I. = Rs.
12500 × 309
2500

∴ C.I. = Rs. 1545



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