If principal = P, Rate R = R% per annum, T = Time year, SI = Simple interest, then
A. \(T=\frac{100\times SI}{P\times R}\)
B. \(SI=\frac{P\times R\times T}{100}\)
C. \(R=\frac{P\times SI\times T}{100}\)
D. \(T=\frac{P\times SI\times R}{100}\)
E. \(R=\frac{100\times SI}{P\times T}\)
Answer & explanation
Correct answer: option 3
The correct answer is Option (3) → A, B and E only
The basic formula is \(\displaystyle SI=\frac{P\times R\times T}{100}\). Each of the other correct forms comes from it by multiplying both sides by 100 and dividing by the other two quantities.
A. \(\displaystyle T=\frac{100\times SI}{P\times R}\) Correct. Multiplying the basic formula by 100 and dividing by \(P\times R\) leaves \(T\) alone.
B. \(\displaystyle SI=\frac{P\times R\times T}{100}\) Correct. This is the simple interest formula itself.
C. \(\displaystyle R=\frac{P\times SI\times T}{100}\) Incorrect. \(P\) and \(T\) belong in the denominator, with 100 in the numerator, as in statement E.
D. \(\displaystyle T=\frac{P\times SI\times R}{100}\) Incorrect. \(P\) and \(R\) divide, they do not multiply; the correct form is statement A.
E. \(\displaystyle R=\frac{100\times SI}{P\times T}\) Correct. Multiplying the basic formula by 100 and dividing by \(P\times T\) leaves \(R\) alone.