Multiple choice

At simple interest rate of $4 \dfrac{3}{4}$% per annum, how much time is needed for Rs. 432 to yield an interest of Rs.78.66?

  1. 2 years 10 months

  2. 3 years

  3. 3 years and 10 months

  4. 4 years

  5. None of these
Reveal answer Fill a bubble to check yourself
C Correct answer
Explanation

Rate = 4.75%. SI = 78.66, P = 432. SI = PRT/100 -> 78.66 = 432 * 0.0475 * T. 78.66 = 20.52 * T. T = 78.66 / 20.52 = 3.833 years. 0.833 years is 10 months. Total time is 3 years 10 months.

AI explanation

Using the time formula Time = (Simple Interest x 100) / (Principal x Rate), the rate is 19/4 percent. Substituting the values gives Time = (78.66 x 100) / (432 x (19/4)), which simplifies to 7866 / 2052 years. This equals 46/12 years, resulting in 3 years and 10 months.

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