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Question

The simple interest on a certain sum for 5years at 8%p.a. is Rs200less than the simple interest on the same sum for 3years and 4months at 18%p.a.find the sum.


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Solution

Let the principal be Rs P.

R1=18%p.a.T1=3years4months=3412Y=313Y=103YR2=8%p.a.T2=5yearsDifferenceofSI=Rs200P×R1×T1100-P×R2×T2100=200P×18×10100×3-P×8×5100=20060P100-40P100=20020P100=200P=200×10020=Rs1000


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