The simple interest on a sum of money for 2 and a half years at 8% is 96 Rs. less than the simple interest on the same sum for 3 years at 12%. Find the sum.
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let the required sum be rs.x
SI on Rs.x at 8%per annum for 21/2 years
=Rs.(x×8×2/200)=Rs. 16x/200=4x/50=2x/25
Si on rs.x at 12%per annum for 3 years
=Rs.(x×12×3/100)=Rs.36x/100=9x/25
4x/25-9x/25=96
=>4x-9x=96×25
=> - 5x=96×25
=>x=96×25/5=96x - 5 = - rs480
hence the required sumis Rs. - 480
SI on Rs.x at 8%per annum for 21/2 years
=Rs.(x×8×2/200)=Rs. 16x/200=4x/50=2x/25
Si on rs.x at 12%per annum for 3 years
=Rs.(x×12×3/100)=Rs.36x/100=9x/25
4x/25-9x/25=96
=>4x-9x=96×25
=> - 5x=96×25
=>x=96×25/5=96x - 5 = - rs480
hence the required sumis Rs. - 480
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