a man lent equal sums of money at 5.5% and 4% per annum respectively for a period of 3 years. If he earned Rs. 72 more for the money lent out at 5.5% find the sum of money lent at 4%
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It does not matter whether the amount of money lent is at 5.5% or 4%, since both the amounts are same.
Let P be the amount lent by the man.
Since he earns Rs. 72 more by lending the amount at 5.5%, Rs. 72 is the simple interest on the amount P, lent at 5.5% for 3 years.
Thus, 72 = P*5.5*3/100
Or P = 72*100/(5.5*3)
P = 7200/16.5 = 436.36
Thus, the amount lent at 4% is Rs. 436.36
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