Question

At what rate percent per year will a sum double itself in 25/4 years ?​

Answer 1

Answer:

Simple interest case:

Sum doubles if Sum = Principal + interest = 2 P => interest = principal

Interest = principal = P = P r t = > r t = 1

r = 1/t = 4/25 or (4/25) * 100% = 16% per year

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Answer 2

Answer:

let principal be p

so amount = 2P

rate = ?

time = 25/4

S.I = amount - principal

so S.I = P

B.T.P ,

P = Prt/100

or, P= P × r × 25/400

or, 400P = 25rP

or 25r = 400

or, r = 16%

So your answer is 16%

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