on what sum of money will the difference between the simple interest and the compound interest for 2 years at 5% p.a be equal to rs 50?
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let the principal=rs. p
FOR CI
A=p(1+R/100)^n
=p(1+5/100)^2
=p(1+1/20)^2
=p(21/20)^2
A=441/400p
now, CI=A-P
=441/400p-p
CI =41/400p
NOW, FOR SI
SI=PRT/100
=P×5×2/100
=P/10
A/Q
41/400p - p/10= 50
41p-40p/100= 50
p/100= 50
p= 50×100
p= Rs. 500
So, the required principal is Rs. 5000.
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FOR CI
A=p(1+R/100)^n
=p(1+5/100)^2
=p(1+1/20)^2
=p(21/20)^2
A=441/400p
now, CI=A-P
=441/400p-p
CI =41/400p
NOW, FOR SI
SI=PRT/100
=P×5×2/100
=P/10
A/Q
41/400p - p/10= 50
41p-40p/100= 50
p/100= 50
p= 50×100
p= Rs. 500
So, the required principal is Rs. 5000.
HOPE IT HELPS U
IF U LIKE IT, PLEASE MARK IT AS BRAINLIEST
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