Rs 3783 is divided into two parts such that the simple interest on the first for 3 months at 4.5% is equal to that on the second for 7months at 2.25%. Find the sum lent at 4.5%
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given 3783 is divided into two parts
so first part = x, second part = 3783-x
SI for first part = SI for second part
(x*(3/12)*4.5)/100 = ((3783-x)*(7/12)*2.25)/100
13.5x/12 = ((3783-x)*15.75)/12
13.5x = 59582.25-15.75x
29.25x = 59582.25
x = 59582.25/29.25
x = 2037
The sum lent at 4.5 is 2037
so first part = x, second part = 3783-x
SI for first part = SI for second part
(x*(3/12)*4.5)/100 = ((3783-x)*(7/12)*2.25)/100
13.5x/12 = ((3783-x)*15.75)/12
13.5x = 59582.25-15.75x
29.25x = 59582.25
x = 59582.25/29.25
x = 2037
The sum lent at 4.5 is 2037
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