Sanjay invest a sum of rs p at rate of 20% per amnum on compound interest for three years if interset earned is 2730 find value of p+ interedt
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Answer: Principal=Rs.P (Given).
Rate=20%, time period=3 years.
Compound interest=2730
We know, Amount=Principal(1+(r/100))^n; where n is the number of years.
So, A=P(1+(20/100))^3.
A=P(120/100)^3.
Compound interest=Amount-Principal.
So, C.I.= P(1728000/1000000)-P.
=> 2730=(1728000P-1000000P)/1000000.
=> 2730=728000P/1000000.
=> 2730×1000000=728000P.
=> P=2730000000/728000.
=> P= 3750.
Therefore, principal amount = Rs. 3750.
Explanation:
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