Q12 of 94 Page 29

The difference between C. I. and S. I. for 2 years on a sum of money lent at 5% p.a. is Rs. 5. Find the sum of money lent.

Let x be the sum of money lent

Time = 2 years


Interest = 5%


C.I – S.I = 5


Amount = x


= x


= 1.1025x


C.I = amount – principle


= 1.1025x – x


= 0.1025x


Simple interest =


=


= 0.1x


C.I – S.I = 5


0.1025x – 0.1x = 5


0.0025x = 5


X = 2,000


∴ sum of money lent is 2,000


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