the simple interest on a certain sum for 2year is800 rs. while the compojnd jnterest on the same sum for 2year is 820Rs. find the sum and the rate of interest.
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Let x be the sum, for First case
x*rate*2/100=800.
x*rate/100=400. 1
For second case
x*rate*1/100+(x+x*rate/100)*rate/100=820
Fill value from 1
400+(x+400)*400/x=820
420=(x+400)*400/x
400 +160000/x=420
160000/x=20
x=160000/20=8000
Rate*x*1/100=400
Rate*8000/100=400
Rate=400/80=5
Hance rate =5
And principle=8000
x*rate*2/100=800.
x*rate/100=400. 1
For second case
x*rate*1/100+(x+x*rate/100)*rate/100=820
Fill value from 1
400+(x+400)*400/x=820
420=(x+400)*400/x
400 +160000/x=420
160000/x=20
x=160000/20=8000
Rate*x*1/100=400
Rate*8000/100=400
Rate=400/80=5
Hance rate =5
And principle=8000
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