The dfrnc between compound intrst and simple intrst on certain principal for 2yrs at 20% rate of intrst is 2.wht is the principle amount?plz help
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Formula of Principal amount is
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Let the principal be Rs a
Time = 2 years
Rate of interest = 20 p.c.p.a
Now,
Amount = P ( 1 + r/100)^n
= a( 1 + 20 /100)^2
= a ( 1 + 1/ 5)^2
= a ( 6/5)^2
= 36a/25
Compound interest = Amount - Principal
= 36a/25 - a
= 11a/25
Now,
Simple interest = a × 20 × 2 /100
= 2a/5
According to question,
CI - SI = 2
=> 11a/25 - 2a/5 = 2
=> ( 11a - 10a)/ 25 = 2
=> a = 50
Principal = Rs 50
Time = 2 years
Rate of interest = 20 p.c.p.a
Now,
Amount = P ( 1 + r/100)^n
= a( 1 + 20 /100)^2
= a ( 1 + 1/ 5)^2
= a ( 6/5)^2
= 36a/25
Compound interest = Amount - Principal
= 36a/25 - a
= 11a/25
Now,
Simple interest = a × 20 × 2 /100
= 2a/5
According to question,
CI - SI = 2
=> 11a/25 - 2a/5 = 2
=> ( 11a - 10a)/ 25 = 2
=> a = 50
Principal = Rs 50
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