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Question

Two equal sums  of money were lent at simple interest at 11% p.a.  for  `3 1/2` years and `4 1/2` years  respectively . If the difference in interest for two periods was Rs. 412.50 then each sum is  :


Options:
A .  Rs. 3250
B .  Rs. 3500
C .  Rs. 3750
D .  Rs. 4250
Answer: Option C

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

`((x xx 11 xx 9)/(100 xx 2)) - ((x xx 11 xx 7)/(100 xx 2))` = 41250

`hArr    (99x - 77x) = 82500`

`hArr    22x = 82500`

`hArr     x = 3750`



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