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2014-10-16T11:55:36+05:30

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Let the sum be P.

Accumulated total = S1 = P (1 + 20/100)² = P 1.2² = 1.44 P
           Interest I1 = S1 - P = 0.44P

If the interest is compounded half-yearly, then:
         interest for 6 months = 20% * 6/12 = 10%
        number of times it is compounded is 4.

    S2 = P ( 1 + 10/100)⁴ = P 1,1⁴ = 1.4641 P
         Interest  I2 = S2 - P = 0.4641 P

Difference in the interest = S2 - S1 = I2 - I1 = 0.4641 P - 0.44 P 
 
      0.0241 P = Rs 482
   
         P = Sum lent = Rs 20,000.



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