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The difference between the compound interest and simple interest on a certain sum at 10% per annum for 2 years is Rs. 631. Find the sum .


Options:
A .  Rs. 63,100
B .  Rs. 63,400
C .  Rs. 63,600
D .  Rs. 63,750
Answer: Option A

Let the sum be Rs. `x` , Then ,

C.I.  = `x(1 + 10/100)^2 - x =  (21x)/(100),`

S.I. = `((x xx 10 xx 2)/(100)) =  x/5`.

`:.`      (C.I.) -  (S.I.) =  `((21x)/(100) - x/5) = x/100`

`:.`     ` x/100 =   631`

`hArr      x`= 63100

Hence , the sum is Rs. 63,100.




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