Multiple choice

In what time will the simple interest on Rs. $900$ at $6\%$ be equal to S.I. on Rs. $540$ for $4$ years at $5\%$.

  1. $5$
  2. $4$
  3. $3$
  4. $2$
Reveal answer Fill a bubble to check yourself
D Correct answer
Explanation

SI1 = 900 * 0.06 * T = 54T. SI2 = 540 * 0.05 * 4 = 108. 54T = 108 => T = 2.

AI explanation

Using the simple interest formula of Principal times Rate times Time divided by 100, the interest on Rs. 540 for 4 years at 5 percent is 540 times 5 times 4 divided by 100, giving Rs. 108. Equating this to the interest on Rs. 900 at 6 percent gives 900 times 6 times Time divided by 100 equals 108. Solving for Time yields 108 divided by 54, which is 2 years.

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