A sum amounts to 780Rs in 2 years and 1230Rs in 7 years.Find the principal and rate of simple interest.
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let P and R be the prinpipal and rate of interest
1ST CONDITION,
A=780
T=2y
now,
A=P(1+RT/100)
780=P(1+2R/100)
78000=100P+2PR------(1)
2ND CONDITION,
A=1230
T=7Y
now,1230=P(1+7R/100)
123000=100P+7R-------(2)
SUBTRACTING (1)FROM (2) , WE GET,
45000=5R
R=45000/5=9000
AGAIN, P=78000÷(100+2R)
=78000÷(100+180
question mistake
=
1ST CONDITION,
A=780
T=2y
now,
A=P(1+RT/100)
780=P(1+2R/100)
78000=100P+2PR------(1)
2ND CONDITION,
A=1230
T=7Y
now,1230=P(1+7R/100)
123000=100P+7R-------(2)
SUBTRACTING (1)FROM (2) , WE GET,
45000=5R
R=45000/5=9000
AGAIN, P=78000÷(100+2R)
=78000÷(100+180
question mistake
=
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