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What is the difference between the compound interests on Rs. 5000 for 1 1/2 years at 4% per annum compounded yearly and half-yearly?

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1. 

What is the difference between the compound interests on Rs. 5000 for 11-div-1by2 years at 4% per annum compounded yearly and half-yearly?

[A]. Rs. 2.04
[B]. Rs. 3.06
[C]. Rs. 4.80
[D]. Rs. 8.30

Answer: Option A

Explanation:

C.I. when interest
compounded yearly    
= Rs. 1-sym-obracket-h1 5000 x 1-sym-oparen-h1 1 + 4 1-sym-cparen-h1 x 1-sym-oparen-h1 1 +  x 4 1-sym-cparen-h1 1-sym-cbracket-h1
100 100
 
= Rs. 1-sym-oparen-h1 5000 x 26 x 51 1-sym-cparen-h1
25 50
  = Rs. 5304.
C.I. when interest is
compounded half-yearly
= Rs. 1-sym-obracket-h1 5000 x 1-sym-oparen-h1 1 + 2 1-sym-cparen-h1 3 1-sym-cbracket-h1
100
 
= Rs. 1-sym-oparen-h1 5000 x 51 x 51 x 51 1-sym-cparen-h1
50 50 50
  = Rs. 5306.04

 Difference = Rs. (5306.04 - 5304) = Rs. 2.04

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