Find the principal amount invested if the difference between Compound Interest and Simple Interest obtained for 3 years at rate of interest of 25% is Rs. 320.
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Principal amount = 1575
Given : rate = 25%, time = 3 years
According to the question
compound interest - simple interest = 320 Formula [A= P( 1+ r/100)*nt]
[P(1+r/100) *nt - p] - PRT/100 = 320
[P(1+25/100)*3 -P] - p×25×3×100 = 32
[P( 125/100)*3 - p] - 3p/4 = 320
[P(1.25)*3-p] -3p/4 = 320
[1.953125p - p] - 3p/4 = 320 -
0.953125p - 0.75p = 320
0.203125p = 320P = 320/0.203125
P= 1575
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