Multiple choice

The simple interest on a sum of money is 4/9 of the principal. Find the rate percent & time, if both are numerically equal

  1. R = 20/3%, T = 20/3 years

  2. R = 10/3%, T = 20/3 years

  3. R = 20/5%, T = 20/3 years

  4. R = 40/3%, T = 20/3 years

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A Correct answer
Explanation

Let sum = Rs x . Then, simple interest = 4x / 9 Let rate = R% & time = R years
Then, (x ´ R ´ R ) / 100 = 4x / 9, R2 = 400/9, R = 20/3 Rate = 20/3% & time = 20/3 years