`3500 was lent partly at 4% and partly at 6% simple interest. The total interest received after 3 years is `498.
Find the amount lent at 6% simple interest.
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Let 4% A=x
6% B=3500-x
S.I=P*R*T/100
S.I for A + S.I for B=498
X*4*3/100 +(3500-x)*6*3/100=498
3x/25 + 31500-9x/50=498
6x+31500-9x/50=498
6x-9x+31500 = 498*50
-3x = 24900 - 31500
-3x = - 6600
x = 6600/3
x = 2200
x = 4%
= 2200 Rs.
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